## Algebra 2 Common Core

$x=4$ and $x=2$
Put all terms on the left side. Note than when a term is moved over to the other side of an equation, its sign changes to its opposite. \begin{align*} 3x^2-18x+24&=0\\ \end{align*} Factor out $3$: \begin{align*} 3(x^2-6x+8)&=0 \end{align*} Factor the trinomial: \begin{align*} 3(x-4)(x-2)&=0 \end{align*} Use the Zero-Product Property by equating each factor with a variable to zero, then solve each equation: \begin{align*} x-4&=0 &\text{or}& &x-2=0\\ x&=4 &\text{or}& &x=2 \end{align*}