-8v(v+5)=-88

Solution for -8v(v+5)=-88 equation:

-8v(v+5)=-88

We move all terms to the left:

-8v(v+5)-(-88)=0

We add all the numbers together, and all the variables

-8v(v+5)+88=0

We multiply parentheses

-8v^2-40v+88=0

a = -8; b = -40; c = +88;
Δ = b2-4ac
Δ = -402-4·(-8)·88
Δ = 4416
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{4416}=\sqrt{64*69}=\sqrt{64}*\sqrt{69}=8\sqrt{69}$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-40)-8\sqrt{69}}{2*-8}=\frac{40-8\sqrt{69}}{-16}
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-40)+8\sqrt{69}}{2*-8}=\frac{40+8\sqrt{69}}{-16}
$