# How do you solve 4x^2+5x-6=0 using the quadratic formula?

Dec 5, 2016

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

#### Explanation:

Playing with different factors of $4$ and $6$ you factor the quadratic to:

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

Now solve each term for $0$:

4x - 3 = 0#

$4 x - 3 + 3 = 0 + 3$

$4 x = 3$

$\frac{4 x}{4} = \frac{3}{4}$

$x = \frac{3}{4}$

and

$x + 2 = 0$

$x + 2 - 2 = 0 - 2$

$x = - 2$