(y+2)*(y+2)=49

Solution for (y+2)*(y+2)=49 equation:

(y+2)(y+2)=49

We move all terms to the left:

(y+2)(y+2)-(49)=0

We multiply parentheses ..

(+y^2+2y+2y+4)-49=0

We get rid of parentheses

y^2+2y+2y+4-49=0

We add all the numbers together, and all the variables

y^2+4y-45=0

a = 1; b = 4; c = -45;
Δ = b2-4ac
Δ = 42-4·1·(-45)
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-14}{2*1}=\frac{-18}{2}
=-9
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+14}{2*1}=\frac{10}{2}
=5
$