# How do you solve 10x^2-6=-14x^2+10x+50?

Mar 28, 2017

$x = \frac{7}{4} , - \frac{4}{3}$

#### Explanation:

Move everything to the left side:

$24 {x}^{2} - 10 x - 56 = 0$

$x = \frac{10 \pm \sqrt{100 - 4 \left(24\right) \left(- 56\right)}}{48}$
$x = \frac{10 \pm \sqrt{5476}}{48}$
$x = \frac{10 \pm 74}{48}$
$x = \frac{84}{48} , - \frac{64}{48}$
$x = \frac{7}{4} , - \frac{4}{3}$