(8+y)*y=60

Solution for (8+y)*y=60 equation:

(8+y)*y=60

We move all terms to the left:

(8+y)*y-(60)=0

We add all the numbers together, and all the variables

(y+8)*y-60=0

We multiply parentheses

y^2+8y-60=0

a = 1; b = 8; c = -60;
Δ = b2-4ac
Δ = 82-4·1·(-60)
Δ = 304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{304}=\sqrt{16*19}=\sqrt{16}*\sqrt{19}=4\sqrt{19}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-4\sqrt{19}}{2*1}=\frac{-8-4\sqrt{19}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+4\sqrt{19}}{2*1}=\frac{-8+4\sqrt{19}}{2}
$