# Problem of the Week

## Updated at Aug 19, 2019 8:16 AM

For this week we've brought you this equation problem.

How would you solve the equation $$\frac{{(p-3)}^{2}+2}{3}=\frac{2}{3}$$?

Here are the steps:

$\frac{{(p-3)}^{2}+2}{3}=\frac{2}{3}$

 1 Multiply both sides by $$3$$.${(p-3)}^{2}+2=\frac{2}{3}\times 3$2 Simplify $$\frac{2}{3}\times 3$$ to $$\frac{6}{3}$$.${(p-3)}^{2}+2=\frac{6}{3}$3 Simplify $$\frac{6}{3}$$ to $$2$$.${(p-3)}^{2}+2=2$4 Cancel $$2$$ on both sides.${(p-3)}^{2}=0$5 Take the square root of both sides.$p-3=0$6 Add $$3$$ to both sides.$p=3$Donep=3