75s=-66s^2

Solution for 75s=-66s^2 equation:

75s=-66s^2

We move all terms to the left:

75s-(-66s^2)=0

We get rid of parentheses

66s^2+75s=0

a = 66; b = 75; c = 0;
Δ = b2-4ac
Δ = 752-4·66·0
Δ = 5625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5625}=75$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(75)-75}{2*66}=\frac{-150}{132}
=-1+3/22
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(75)+75}{2*66}=\frac{0}{132}
=0
$