find x if 2/4x+1/3x=x-8
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1.x²-3x+4x-12=0
x(x-3)+4(x-3)=0
(x-3)(x+4)=0
x-3=0 or x+4=0
x=3 or x= -4
2.x²+14x+48=0
x²+12x+4x+48=0
x(x+12)+4(x+12)=0
(x+12)(x+4)=0
x+12=0 or x+4=0
x= -12 or x= -4
3.4x²+11x-20=0
4x²+16x-5x-20=0
4x(x+4)-5(x+4)=0
(x+4)(4x-5)=0
x+4=0 or 4x-5=0
x= -4 or 4x=5
x=5/4
4.6x²-19x+8=0
6x²-3x-16x+8=0
3x(2x-1)-8(2x-1)=0
(2x-1)(3x-8)=0
2x-1 =0 or 3x-8=0
2x=1 or 3x=8
x=1/2 or x=8/3
5. 6√3x²-47x-5√3 =.0
6√3x²-2x-45x-5√3 =0
2x(3√3x-1)-5√3(3√3-1)=0
(2x-5√3) (3√3x-1)=0
2x-5√3 =0 or 3√3x-1=0
2x=5√3 or 3√3x=1
x=5√3/2 or x=1/3√3
6.2√3x²+x-5√3=0
2√3x²+6x-5x-5√3=0
2√3x(x+√3)-5(x+√3)=0
(2√3x-5) (x+√3) =0
2√3x-5=0 or x+√3=0
2√3x=5 or x= -√3
x=5/2√3 or x= -√3
7.
8.7(x-2y)²-25(x-2y)+12=0
let x-2y be a
7a²-25a+12=0
7a²-21a-4a+12=0
7a(a-3)-4(a-3)=0
(a-3)(7a-4)=0
a-3 =0 or 7a-4=0
a=3 or 7a=4
or a=4/7
resubstituting the value of a
x-2y=3 or x-2y=4/7
9.7√2x²-10x-4√2=0
7√2x²-14x+4x-4√2=0
7√2x(x-√2)+4(x-√2)=0
(7√2x+4) (x-√2)=0
7√2x+4=0 or x-√2=0
7√2x=-4 or x= √2
x=4/7√2 or x= √2
10. 8+3x²-10x=0
3x²-10x+8=0
3x²-6x-4x+8=0
3x(x-2)-4(x-2)=0
(3x-4) (x-2)=0
3x-4=0 or x-2=0
3x=4 or x=2
x=4/3 or x=2

hope my answer helps

mark my answer as brainliest
Thanks for answer

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Brainly User
Hello Dear !
_________________________________________________________
Answer 1 = x² +x - 12
= x² + 4x - 3x -12
= x(x+4) -3(x+4)
=( x+4)(x-3)
Answer 2 = x² +14x +48
= x² + 8x + 6x + 48
= x(x+8) + 6(x+8)
= (x+8) (x+6)
Answer 3 = 4x² + 11x-20
= 4x² +16x-5x-20
= 4x(x+4)-5x(x+4)
= (x+4) (x-5x)
Answer 4 = 6x²-19x +8
= 6x²-16x-3x+8
= 2x(3x-8)-1(3x-8)
= (3x-8) (2x-1)
Answer 5 = 6√3x² - 47x + 5√3
= 6√3x² -45x-2x +5√3
= 3√3(2x-5√3)-1(2x-5√3)
= (2x-5√3) (3√3-1)
Answer 6 = 2√3x² + x - 5√3
= 2√3x² +6x -5x -5√3
= 2√3x(x+√3)-5(x+√3)
= (x+√3) (2√3-5)
Answer 7 = 2x² + 2√2x -15
= 2x² +5√2x-3√2x-15
= √2x(√2x+5)-3(√2x+5)
= (√2x+5) (√2x-3)
Answer 8 = 7(x-2y)² - 25(x-2y) + 12
= 7(x-2y)² - 28(x-2y)+3(x-2y)+12
= 7(x-2y)[(x-2y)-4] +3[(x-2y)-4]
=[(x-2y)-4] [7(x-2y)+3]
Answer 9 = 7√2x²-10x - 4√2
= 7√2x²- 14x+4 x -4√2
= 7√2x(x-√2) +4(x-√2)
= (x-√2) (7√2x+4)
Answer10 = 3x² -10x +8
= 3x² -6x-4x+8
= 3x(x-2)-4(x-2)
= (x-2) (3x-4)
____________________________________________________________
It took me a lot of time few ^^"
Hope u like it !!!
x(x-3)+4(x-3)=0
(x-3)(x+4)=0
x-3=0 or x+4=0
x=3 or x= -4
2.x²+14x+48=0
x²+12x+4x+48=0
x(x+12)+4(x+12)=0
(x+12)(x+4)=0
x+12=0 or x+4=0
x= -12 or x= -4
3.4x²+11x-20=0
4x²+16x-5x-20=0
4x(x+4)-5(x+4)=0
(x+4)(4x-5)=0
x+4=0 or 4x-5=0
x= -4 or 4x=5
x=5/4
4.6x²-19x+8=0
6x²-3x-16x+8=0
3x(2x-1)-8(2x-1)=0
(2x-1)(3x-8)=0
2x-1 =0 or 3x-8=0
2x=1 or 3x=8
x=1/2 or x=8/3
5. 6√3x²-47x-5√3 =.0
6√3x²-2x-45x-5√3 =0
2x(3√3x-1)-5√3(3√3-1)=0
(2x-5√3) (3√3x-1)=0
2x-5√3 =0 or 3√3x-1=0
2x=5√3 or 3√3x=1
x=5√3/2 or x=1/3√3
6.2√3x²+x-5√3=0
2√3x²+6x-5x-5√3=0
2√3x(x+√3)-5(x+√3)=0
(2√3x-5) (x+√3) =0
2√3x-5=0 or x+√3=0
2√3x=5 or x= -√3
x=5/2√3 or x= -√3
7.
8.7(x-2y)²-25(x-2y)+12=0
let x-2y be a
7a²-25a+12=0
7a²-21a-4a+12=0
7a(a-3)-4(a-3)=0
(a-3)(7a-4)=0
a-3 =0 or 7a-4=0
a=3 or 7a=4
or a=4/7
resubstituting the value of a
x-2y=3 or x-2y=4/7
9.7√2x²-10x-4√2=0
7√2x²-14x+4x-4√2=0
7√2x(x-√2)+4(x-√2)=0
(7√2x+4) (x-√2)=0
7√2x+4=0 or x-√2=0
7√2x=-4 or x= √2
x=4/7√2 or x= √2
10. 8+3x²-10x=0
3x²-10x+8=0
3x²-6x-4x+8=0
3x(x-2)-4(x-2)=0
(3x-4) (x-2)=0
3x-4=0 or x-2=0
3x=4 or x=2
x=4/3 or x=2

hope my answer helps

mark my answer as brainliest
Thanks for answer

plz mark it as brainliest
Brainly User
Hello Dear !
_________________________________________________________
Answer 1 = x² +x - 12
= x² + 4x - 3x -12
= x(x+4) -3(x+4)
=( x+4)(x-3)
Answer 2 = x² +14x +48
= x² + 8x + 6x + 48
= x(x+8) + 6(x+8)
= (x+8) (x+6)
Answer 3 = 4x² + 11x-20
= 4x² +16x-5x-20
= 4x(x+4)-5x(x+4)
= (x+4) (x-5x)
Answer 4 = 6x²-19x +8
= 6x²-16x-3x+8
= 2x(3x-8)-1(3x-8)
= (3x-8) (2x-1)
Answer 5 = 6√3x² - 47x + 5√3
= 6√3x² -45x-2x +5√3
= 3√3(2x-5√3)-1(2x-5√3)
= (2x-5√3) (3√3-1)
Answer 6 = 2√3x² + x - 5√3
= 2√3x² +6x -5x -5√3
= 2√3x(x+√3)-5(x+√3)
= (x+√3) (2√3-5)
Answer 7 = 2x² + 2√2x -15
= 2x² +5√2x-3√2x-15
= √2x(√2x+5)-3(√2x+5)
= (√2x+5) (√2x-3)
Answer 8 = 7(x-2y)² - 25(x-2y) + 12
= 7(x-2y)² - 28(x-2y)+3(x-2y)+12
= 7(x-2y)[(x-2y)-4] +3[(x-2y)-4]
=[(x-2y)-4] [7(x-2y)+3]
Answer 9 = 7√2x²-10x - 4√2
= 7√2x²- 14x+4 x -4√2
= 7√2x(x-√2) +4(x-√2)
= (x-√2) (7√2x+4)
Answer10 = 3x² -10x +8
= 3x² -6x-4x+8
= 3x(x-2)-4(x-2)
= (x-2) (3x-4)
____________________________________________________________
It took me a lot of time few ^^"
Hope u like it !!!
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