# How do you solve the quadratic x^2+3x=0 using any method?

Aug 9, 2016

$x = 0$ or $x = - 3$

#### Explanation:

The general rule for solving a quadratic equation is to make it equal to 0 and factorise if possible.

Exactly this method can apply here.

${x}^{2} + 3 x = 0 \text{ common factor of } x$

$\textcolor{red}{x} \textcolor{b l u e}{\left(x + 3\right)} = 0$

If the product of two or more factors is 0, then at least one of them is equal to 0.

$\textcolor{red}{x}$ = 0, or $\textcolor{b l u e}{x + 3} = 0 \text{ } \Rightarrow x = - 3$