144=8x^2

Solution for 144=8x^2 equation:

144=8x^2

We move all terms to the left:

144-(8x^2)=0

a = -8; b = 0; c = +144;
Δ = b2-4ac
Δ = 02-4·(-8)·144
Δ = 4608
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:

$\sqrt{\Delta}=\sqrt{4608}=\sqrt{2304*2}=\sqrt{2304}*\sqrt{2}=48\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48\sqrt{2}}{2*-8}=\frac{0-48\sqrt{2}}{-16}
=-\frac{48\sqrt{2}}{-16}
=-\frac{3\sqrt{2}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{2}}{2*-8}=\frac{0+48\sqrt{2}}{-16}
=\frac{48\sqrt{2}}{-16}
=\frac{3\sqrt{2}}{-1}
$