36x^2-60x=25

Solution for 36x^2-60x=25 equation:

36x^2-60x=25

We move all terms to the left:

36x^2-60x-(25)=0

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

The end solution:

$\sqrt{\Delta}=\sqrt{7200}=\sqrt{3600*2}=\sqrt{3600}*\sqrt{2}=60\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-60\sqrt{2}}{2*36}=\frac{60-60\sqrt{2}}{72}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+60\sqrt{2}}{2*36}=\frac{60+60\sqrt{2}}{72}
$