# How do you solve 2(x-1)^2 - 3 = 3(x+2)  using the quadratic formula?

Apr 23, 2018

Expand the whole equation, and then solve using quadratic formula.

#### Explanation:

$2 {\left(x - 1\right)}^{2} - 3 = 3 \left(x + 2\right)$

$2 {x}^{2} - 4 x + 2 - 3 = 3 x + 6$

$2 {x}^{2} - 7 x - 7 = 0$

By quadratic formula, $x = 4.312 \mathmr{and} - 0.812$ (3sf)