# Solve for: 9x^2+4=-12x

## Expression: $9{x}^{2}+4=-12x$

Move the variable to the left-hand side and change its sign

$9{x}^{2}+4+12x=0$

Use the commutative property to reorder the terms

$9{x}^{2}+12x+4=0$

Use ${a}^{2}+2ab+{b}^{2}={\left( a+b \right)}^{2}$ to factor the expression

${\left( 3x+2 \right)}^{2}=0$

The only way a power can be $0$ is when the base equals $0$

$3x+2=0$

Move the constant to the right-hand side and change its sign

$3x=-2$

Divide both sides of the equation by $3$

\begin{align*}&x=-\frac{ 2 }{ 3 } \\&x=-0.\overset{ \cdot }{ 6 } \end{align*}

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