### Home > A2C > Chapter 4 > Lesson 4.2.4 > Problem4-120

4-120.

The quadratic formula can be used to help solve $4x^{3} + 23x^{2} − 2x = 0$. Show or explain how.

Factor out the x.

$x\left(4x^{2} + 23x − 2\right) = 0$

By Zero Product Property:

$x = 0$ or
$4x^{2} + 23x − 2 = 0$

$\textit{x}=\frac{-23\pm\sqrt{23^{2}-4(4)(-2)}}{2(4)}$
Now solve for $x$.