Question

Solve for x :
6x^2 + 11x + 3​

Answer 1

Answer:

$x = \frac{ - 3}{2} \: or \: x = \frac{ - 1}{3}$

Step-by-step explanation:

$6 {x}^{2} + 11x + 3 = 0$

$6 {x}^{2} + (9 + 2)x + 3 = 0$

$6 {x}^{2} + 9x + 2x + 3 = 0$

$3x(2x + 3) + 1(2x + 3 = 0$

$(2x + 3)(3x + 1) = 0$

$2x + 3 = 0 \: or \: 3x + 1 = 0$

$x = \frac{ - 3}{2} \: or \: x = \frac{ - 1}{3}$

i hope it will help u...☺☺

Answer 2

Answer:

(2x+3)(3x+1)=0

x=-3/2

x=-1/3

Step-by-step explanation:

6x²+11x+3=0

a=6

b=11

c=3

Product=a×c

Sum=b

Product=6×3=18

Sum=11

Factors of 18 are 2,3,6,9,18

product =1×18=18 , sum= 1+18=19

Product=2×9=18 , sum= 9+2=11

Product= 3×6=18 , sum= 3+6=9

6x²+11x+3=0

6x²+2x+9x+3=0

2x(3x+1)+3(3x+1)=0

(2x+3)(3x+1)=0

2x+3=0

2x=-3

x=-3/2

3x+1=0

3x=-1

x=-1/3