-88=80x-8x^2

Solution for -88=80x-8x^2 equation:

-88=80x-8x^2

We move all terms to the left:

-88-(80x-8x^2)=0

We get rid of parentheses

8x^2-80x-88=0

a = 8; b = -80; c = -88;
Δ = b2-4ac
Δ = -802-4·8·(-88)
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-80)-96}{2*8}=\frac{-16}{16}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-80)+96}{2*8}=\frac{176}{16}
=11
$