X^2-6x=2200

Solution for X^2-6x=2200 equation:

X^2-6X=2200

We move all terms to the left:

X^2-6X-(2200)=0

a = 1; b = -6; c = -2200;
Δ = b2-4ac
Δ = -62-4·1·(-2200)
Δ = 8836
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8836}=94$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-94}{2*1}=\frac{-88}{2}
=-44
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+94}{2*1}=\frac{100}{2}
=50
$