X^2-50=60x

Solution for X^2-50=60x equation:

X^2-50=60X

We move all terms to the left:

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

a = 1; b = -60; c = -50;
Δ = b2-4ac
Δ = -602-4·1·(-50)
Δ = 3800
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:

$\sqrt{\Delta}=\sqrt{3800}=\sqrt{100*38}=\sqrt{100}*\sqrt{38}=10\sqrt{38}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-10\sqrt{38}}{2*1}=\frac{60-10\sqrt{38}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+10\sqrt{38}}{2*1}=\frac{60+10\sqrt{38}}{2}
$