8x^2=240

Solution for 8x^2=240 equation:

8x^2=240

We move all terms to the left:

8x^2-(240)=0

a = 8; b = 0; c = -240;
Δ = b2-4ac
Δ = 02-4·8·(-240)
Δ = 7680
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:

$\sqrt{\Delta}=\sqrt{7680}=\sqrt{256*30}=\sqrt{256}*\sqrt{30}=16\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{30}}{2*8}=\frac{0-16\sqrt{30}}{16}
=-\frac{16\sqrt{30}}{16}
=-\sqrt{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{30}}{2*8}=\frac{0+16\sqrt{30}}{16}
=\frac{16\sqrt{30}}{16}
=\sqrt{30}
$