8y(y+57)=0

Solution for 8y(y+57)=0 equation:

8y(y+57)=0

We multiply parentheses

8y^2+456y=0

a = 8; b = 456; c = 0;
Δ = b2-4ac
Δ = 4562-4·8·0
Δ = 207936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{207936}=456$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(456)-456}{2*8}=\frac{-912}{16}
=-57
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(456)+456}{2*8}=\frac{0}{16}
=0
$