1008=2x^2+64

Solution for 1008=2x^2+64 equation:

1008=2x^2+64

We move all terms to the left:

1008-(2x^2+64)=0

We get rid of parentheses

-2x^2-64+1008=0

We add all the numbers together, and all the variables

-2x^2+944=0

a = -2; b = 0; c = +944;
Δ = b2-4ac
Δ = 02-4·(-2)·944
Δ = 7552
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:

$\sqrt{\Delta}=\sqrt{7552}=\sqrt{64*118}=\sqrt{64}*\sqrt{118}=8\sqrt{118}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{118}}{2*-2}=\frac{0-8\sqrt{118}}{-4}
=-\frac{8\sqrt{118}}{-4}
=-\frac{2\sqrt{118}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{118}}{2*-2}=\frac{0+8\sqrt{118}}{-4}
=\frac{8\sqrt{118}}{-4}
=\frac{2\sqrt{118}}{-1}
$