-2-8x2=-137

Solution for -2-8x2=-137 equation:

-2-8x^2=-137

We move all terms to the left:

-2-8x^2-(-137)=0

We add all the numbers together, and all the variables

-8x^2+135=0

a = -8; b = 0; c = +135;
Δ = b2-4ac
Δ = 02-4·(-8)·135
Δ = 4320
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:

$\sqrt{\Delta}=\sqrt{4320}=\sqrt{144*30}=\sqrt{144}*\sqrt{30}=12\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{30}}{2*-8}=\frac{0-12\sqrt{30}}{-16}
=-\frac{12\sqrt{30}}{-16}
=-\frac{3\sqrt{30}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{30}}{2*-8}=\frac{0+12\sqrt{30}}{-16}
=\frac{12\sqrt{30}}{-16}
=\frac{3\sqrt{30}}{-4}
$