5x^2-50x=360

Solution for 5x^2-50x=360 equation:

5x^2-50x=360

We move all terms to the left:

5x^2-50x-(360)=0

a = 5; b = -50; c = -360;
Δ = b2-4ac
Δ = -502-4·5·(-360)
Δ = 9700
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:

$\sqrt{\Delta}=\sqrt{9700}=\sqrt{100*97}=\sqrt{100}*\sqrt{97}=10\sqrt{97}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-10\sqrt{97}}{2*5}=\frac{50-10\sqrt{97}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+10\sqrt{97}}{2*5}=\frac{50+10\sqrt{97}}{10}
$