25s^2+60s=36

Solution for 25s^2+60s=36 equation:

25s^2+60s=36

We move all terms to the left:

25s^2+60s-(36)=0

a = 25; b = 60; c = -36;
Δ = b2-4ac
Δ = 602-4·25·(-36)
Δ = 7200
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{7200}=\sqrt{3600*2}=\sqrt{3600}*\sqrt{2}=60\sqrt{2}$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-60\sqrt{2}}{2*25}=\frac{-60-60\sqrt{2}}{50}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+60\sqrt{2}}{2*25}=\frac{-60+60\sqrt{2}}{50}
$