# How do you solve 30x - 45 =5x^2?

Dec 10, 2016

$x = 3$

#### Explanation:

$30 x - 45 = 5 {x}^{2}$
multiply both sides with-1
$+ 30 x + 45 = - 5 {x}^{2}$
$5 {x}^{2} + 30 x + 45 = 0$
$5 \left({x}^{2} + 6 x + 9\right) = 0$
$5 \left(x - 3\right) \left(x - 3\right) = 0$
multiply both sides by$\frac{1}{x - 3}$
$5 \left(x - 3\right) = 0$
$x - 3 = 0$
$x = 3$