x2-11x=80

Solution for x2-11x=80 equation:

x2-11x=80

We move all terms to the left:

x2-11x-(80)=0

We add all the numbers together, and all the variables

x^2-11x-80=0

a = 1; b = -11; c = -80;
Δ = b2-4ac
Δ = -112-4·1·(-80)
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-21}{2*1}=\frac{-10}{2}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+21}{2*1}=\frac{32}{2}
=16
$