# How do you solve 3x(x - 5) = 7x^2 - 16x?

Dec 17, 2015

Distribute in the left side and solve the resulting quadratic equation.

#### Explanation:

3x(x - 5) = $7 {x}^{2}$ - 16x

$3 {x}^{2}$ - 15x = $7 {x}^{2}$ - 16x

0 = $4 {x}^{2}$ - x

You can now solve by factoring:

0 = x(4x - 1)

x = 0 and $\frac{1}{4}$.

Your solution set is x = 0 and x = $\frac{1}{4}$.

Hopefully you understand.