# Problem of the Week

## Updated at Feb 22, 2021 4:33 PM

This week we have another equation problem:

How can we solve the equation $$\frac{{p}^{2}+2}{5}+2=\frac{13}{5}$$?

Let's start!

$\frac{{p}^{2}+2}{5}+2=\frac{13}{5}$

 1 Subtract $$2$$ from both sides.$\frac{{p}^{2}+2}{5}=\frac{13}{5}-2$2 Simplify  $$\frac{13}{5}-2$$  to  $$\frac{3}{5}$$.$\frac{{p}^{2}+2}{5}=\frac{3}{5}$3 Multiply both sides by $$5$$.${p}^{2}+2=\frac{3}{5}\times 5$4 Cancel $$5$$.${p}^{2}+2=3$5 Subtract $$2$$ from both sides.${p}^{2}=3-2$6 Simplify  $$3-2$$  to  $$1$$.${p}^{2}=1$7 Take the square root of both sides.$p=\pm \sqrt{1}$8 Simplify  $$\sqrt{1}$$  to  $$1$$.$p=\pm 1$Donep=1,-1