X(50-2x)=60

Solution for X(50-2x)=60 equation:

X(50-2X)=60

We move all terms to the left:

X(50-2X)-(60)=0

We add all the numbers together, and all the variables

X(-2X+50)-60=0

We multiply parentheses

-2X^2+50X-60=0

a = -2; b = 50; c = -60;
Δ = b2-4ac
Δ = 502-4·(-2)·(-60)
Δ = 2020
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:

$\sqrt{\Delta}=\sqrt{2020}=\sqrt{4*505}=\sqrt{4}*\sqrt{505}=2\sqrt{505}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(50)-2\sqrt{505}}{2*-2}=\frac{-50-2\sqrt{505}}{-4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(50)+2\sqrt{505}}{2*-2}=\frac{-50+2\sqrt{505}}{-4}
$