x^2-57x=-800

Solution for x^2-57x=-800 equation:

x^2-57x=-800

We move all terms to the left:

x^2-57x-(-800)=0

We add all the numbers together, and all the variables

x^2-57x+800=0

a = 1; b = -57; c = +800;
Δ = b2-4ac
Δ = -572-4·1·800
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-57)-7}{2*1}=\frac{50}{2}
=25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-57)+7}{2*1}=\frac{64}{2}
=32
$