36000000=2x^2+8

Solution for 36000000=2x^2+8 equation:

36000000=2x^2+8

We move all terms to the left:

36000000-(2x^2+8)=0

We get rid of parentheses

-2x^2-8+36000000=0

We add all the numbers together, and all the variables

-2x^2+35999992=0

a = -2; b = 0; c = +35999992;
Δ = b2-4ac
Δ = 02-4·(-2)·35999992
Δ = 287999936
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:

$\sqrt{\Delta}=\sqrt{287999936}=\sqrt{64*4499999}=\sqrt{64}*\sqrt{4499999}=8\sqrt{4499999}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{4499999}}{2*-2}=\frac{0-8\sqrt{4499999}}{-4}
=-\frac{8\sqrt{4499999}}{-4}
=-\frac{2\sqrt{4499999}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{4499999}}{2*-2}=\frac{0+8\sqrt{4499999}}{-4}
=\frac{8\sqrt{4499999}}{-4}
=\frac{2\sqrt{4499999}}{-1}
$