10x^2-50x=360

Solution for 10x^2-50x=360 equation:

10x^2-50x=360

We move all terms to the left:

10x^2-50x-(360)=0

a = 10; b = -50; c = -360;
Δ = b2-4ac
Δ = -502-4·10·(-360)
Δ = 16900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16900}=130$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-130}{2*10}=\frac{-80}{20}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+130}{2*10}=\frac{180}{20}
=9
$