How do you factor and solve 2x^2=5x+12?

Sep 6, 2016

$x = 4 \mathmr{and} x = - \frac{3}{2}$

Explanation:

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

or, $2 {x}^{2} - 8 x + 3 x - 12 = 0$

or, $2 x \left(x - 4\right) + 3 \left(x - 4\right) = 0$

or, $\left(x - 4\right) \left(2 x + 3\right) = 0$

$\rightarrow x = 4 \mathmr{and} x = - \frac{3}{2}$