66334=2x^2+86

Solution for 66334=2x^2+86 equation:

66334=2x^2+86

We move all terms to the left:

66334-(2x^2+86)=0

We get rid of parentheses

-2x^2-86+66334=0

We add all the numbers together, and all the variables

-2x^2+66248=0

a = -2; b = 0; c = +66248;
Δ = b2-4ac
Δ = 02-4·(-2)·66248
Δ = 529984
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{529984}=728$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-728}{2*-2}=\frac{-728}{-4}
=+182
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+728}{2*-2}=\frac{728}{-4}
=-182
$