Question

(3x+2)(4x+3) then find the value of x​

Answer 1

Answer:

(3x + 2)(4x + 3)

12x² + 9x + 8x + 6

3x ( 4x + 3) + 2(4x + 3)

(3x + 2)(4x + 3)

therefore , x = -2/3 , x = -3/4

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Answer 2

Answer:

Value of x = 1

Step-by-step explanation:

In ∆ABC , DE//BC ,

AD = 4x-3, AE=8x-7,

DB=3x-1and CE=5x-3,

frac{AE}{EC}=\frac{AD}{DB}

frac{8x-7}{5x-3}=\frac{4x-3}{3x-1}

 (8x-7)(3x-1)=(4x-3)(5x-3)

 8x(3x-1)-7(3x-1)\\=4x(5x-3)-3(5x-3)

 24x^{2}-8x-21x+7\\=20x^{2}-12x-15x+9

24x^{2}-29x+7\\=20x^{2}-27x+9

24x^{2}-29x+7-20x^{2}+27x-9=0

 4x^{2}-2x-2=0

 2x^{2}-x-1=0

2x^{2}-2x+x-1=

 2x(x-1)+1(x-1)=0

 (x-1)(2x+1)=0

x-1=0 or 2x+1=0

 x=1 or x=\frac{-1}{2}

x should not be negative.

Therefore,

Value of x = 1