100x^2-60x=360

Solution for 100x^2-60x=360 equation:

100x^2-60x=360

We move all terms to the left:

100x^2-60x-(360)=0

a = 100; b = -60; c = -360;
Δ = b2-4ac
Δ = -602-4·100·(-360)
Δ = 147600
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:

$\sqrt{\Delta}=\sqrt{147600}=\sqrt{3600*41}=\sqrt{3600}*\sqrt{41}=60\sqrt{41}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-60\sqrt{41}}{2*100}=\frac{60-60\sqrt{41}}{200}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+60\sqrt{41}}{2*100}=\frac{60+60\sqrt{41}}{200}
$