x^2-30x=8800

Solution for x^2-30x=8800 equation:

x^2-30x=8800

We move all terms to the left:

x^2-30x-(8800)=0

a = 1; b = -30; c = -8800;
Δ = b2-4ac
Δ = -302-4·1·(-8800)
Δ = 36100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36100}=190$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-190}{2*1}=\frac{-160}{2}
=-80
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+190}{2*1}=\frac{220}{2}
=110
$