# Problem of the Week

## Updated at Jun 3, 2019 1:28 PM

This week we have another equation problem:

How would you solve the equation $$2({t}^{2}+6)+2=46$$?

Let's start!

$2({t}^{2}+6)+2=46$

 1 Subtract $$2$$ from both sides.$2({t}^{2}+6)=46-2$2 Simplify  $$46-2$$  to  $$44$$.$2({t}^{2}+6)=44$3 Divide both sides by $$2$$.${t}^{2}+6=\frac{44}{2}$4 Simplify  $$\frac{44}{2}$$  to  $$22$$.${t}^{2}+6=22$5 Subtract $$6$$ from both sides.${t}^{2}=22-6$6 Simplify  $$22-6$$  to  $$16$$.${t}^{2}=16$7 Take the square root of both sides.$t=\pm \sqrt{16}$8 Since $$4\times 4=16$$, the square root of $$16$$ is $$4$$.$t=\pm 4$Donet=4,-4