How do you solve 33x^2=-22x?

Jun 14, 2017

$x = 0 , \mathmr{and} x = - \frac{2}{3}$
See below.

Explanation:

$33 {x}^{2} = - 22 x$

$33 {x}^{2} + 22 x = 0$

$11 x \left(3 x + 2\right) = 0$

So, setting each factor equal to $0$ gives:

$x = 0 , \mathmr{and} x = - \frac{2}{3}$