50=5x^2-120x+750

Solution for 50=5x^2-120x+750 equation:

50=5x^2-120x+750

We move all terms to the left:

50-(5x^2-120x+750)=0

We get rid of parentheses

-5x^2+120x-750+50=0

We add all the numbers together, and all the variables

-5x^2+120x-700=0

a = -5; b = 120; c = -700;
Δ = b2-4ac
Δ = 1202-4·(-5)·(-700)
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(120)-20}{2*-5}=\frac{-140}{-10}
=+14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(120)+20}{2*-5}=\frac{-100}{-10}
=+10
$