8b^2-60b=0

Solution for 8b^2-60b=0 equation:

8b^2-60b=0

a = 8; b = -60; c = 0;
Δ = b2-4ac
Δ = -602-4·8·0
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-60}{2*8}=\frac{0}{16}
=0
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+60}{2*8}=\frac{120}{16}
=7+1/2
$