# How do you solve 4x(x+2)=16x-3 by factoring?

Mar 20, 2018

color(green)(x = 3/2, 1/2

#### Explanation:

$4 x \left(x + 2\right) = 16 x - 3$

$4 {x}^{2} + 8 x = 16 x - 3 , \text{Removing bracket in L H S}$

$4 {x}^{2} + 8 x - 16 x + 3 = 0 , \text{bringing all terms to L H S}$

$4 {x}^{2} - 8 x + 3 = 0$

$4x^2 - 2x - 6x + 3 = 0 $2 x \left(2 x - 1\right) - 3 \left(2 x - 1\right) = 0\$

(2x -3) * (2x - 1) = 0

color(green)(x = 3/2, 1/2