-8x(x-11)=16

Solution for -8x(x-11)=16 equation:

-8x(x-11)=16

We move all terms to the left:

-8x(x-11)-(16)=0

We multiply parentheses

-8x^2+88x-16=0

a = -8; b = 88; c = -16;
Δ = b2-4ac
Δ = 882-4·(-8)·(-16)
Δ = 7232
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{7232}=\sqrt{64*113}=\sqrt{64}*\sqrt{113}=8\sqrt{113}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(88)-8\sqrt{113}}{2*-8}=\frac{-88-8\sqrt{113}}{-16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(88)+8\sqrt{113}}{2*-8}=\frac{-88+8\sqrt{113}}{-16}
$