-2m(8m+8)=-16

Solution for -2m(8m+8)=-16 equation:

-2m(8m+8)=-16

We move all terms to the left:

-2m(8m+8)-(-16)=0

We add all the numbers together, and all the variables

-2m(8m+8)+16=0

We multiply parentheses

-16m^2-16m+16=0

a = -16; b = -16; c = +16;
Δ = b2-4ac
Δ = -162-4·(-16)·16
Δ = 1280
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1280}=\sqrt{256*5}=\sqrt{256}*\sqrt{5}=16\sqrt{5}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-16\sqrt{5}}{2*-16}=\frac{16-16\sqrt{5}}{-32}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+16\sqrt{5}}{2*-16}=\frac{16+16\sqrt{5}}{-32}
$