Question

(2x + 3) (x - 4) = 6​

Answer 1

Step-by-step explanation:

So x = -2, 9/2......,.,.,.,..,.,.,.,.,

Answer 2

$\huge\tt\colorbox{pink}{Answer}$

$(2x + 3)(x - 4) = 6$

${2x}^{2} - 8x + 3x - 12 = 6$

${2x}^{2} - 5x - 12 - 6 = 0$

${2x}^{2} - 5x -18 = 0$

${2x}^{2} - 9x + 4x - 18 = 0$

$x(2x - 9) + 2(2x - 9) = 0$

$(x + 2)(2x - 9) = 0$

$x + 2 = 0 \: \: \: \: 2x - 9 = 0$

$x = - 2 \: \: \: \: 2x = 9$

$x = - 2 \: \: \: \: x = \frac{9}{2}$