8-8v^2=-784

Solution for 8-8v^2=-784 equation:

8-8v^2=-784

We move all terms to the left:

8-8v^2-(-784)=0

We add all the numbers together, and all the variables

-8v^2+792=0

a = -8; b = 0; c = +792;
Δ = b2-4ac
Δ = 02-4·(-8)·792
Δ = 25344
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:

$\sqrt{\Delta}=\sqrt{25344}=\sqrt{2304*11}=\sqrt{2304}*\sqrt{11}=48\sqrt{11}$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48\sqrt{11}}{2*-8}=\frac{0-48\sqrt{11}}{-16}
=-\frac{48\sqrt{11}}{-16}
=-\frac{3\sqrt{11}}{-1}
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{11}}{2*-8}=\frac{0+48\sqrt{11}}{-16}
=\frac{48\sqrt{11}}{-16}
=\frac{3\sqrt{11}}{-1}
$