x^2-50x=-525

Solution for x^2-50x=-525 equation:

x^2-50x=-525

We move all terms to the left:

x^2-50x-(-525)=0

We add all the numbers together, and all the variables

x^2-50x+525=0

a = 1; b = -50; c = +525;
Δ = b2-4ac
Δ = -502-4·1·525
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{-(-50)-20}{2*1}=\frac{30}{2}
=15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+20}{2*1}=\frac{70}{2}
=35
$