Question

154 = 2x*x + 2x,find x​

Answer 1

Answer:

$\large\boxed{\sf{x=8,-9}}$

Step-by-step explanation:

$154 = 2 {x}^{2} + 2x \\ \\ = > 2(72) = 2( {x}^{2} + x) \\ \\ = > {x}^{2} + x = 72 \\ \\ = > {x}^{2} + x - 72= 0 \\ \\ = > {x}^{2} + 9x - 8x - 72 = 0 \\ \\ = > x(x + 9) - 8(x + 9) = 0 \\ \\ = > (x + 9)(x - 8) = 0 \\ \\ = > x + 9 = 0 \: \: or \: \: x - 8 = 0 \\ \\ = > x = - 9 \: \: or \: \: x = 8$