## Algebra 2 Common Core

Subtract $400$ from each side to obtain: $$x^2-30x-175=0$$ Factor the trinomial to obtain: \begin{align*} (x-35)(x+5)&=0\\ \end{align*} Use the Zero-Product Property by equating each factor to zero, then solve each equation to obtain: \begin{align*} x-35&=0 &\text{or}& &x+5=0\\ x&=35 &\text{or}& &x=-5 \end{align*}