8x^2-10=150

Solution for 8x^2-10=150 equation:

8x^2-10=150

We move all terms to the left:

8x^2-10-(150)=0

We add all the numbers together, and all the variables

8x^2-160=0

a = 8; b = 0; c = -160;
Δ = b2-4ac
Δ = 02-4·8·(-160)
Δ = 5120
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:

$\sqrt{\Delta}=\sqrt{5120}=\sqrt{1024*5}=\sqrt{1024}*\sqrt{5}=32\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-32\sqrt{5}}{2*8}=\frac{0-32\sqrt{5}}{16}
=-\frac{32\sqrt{5}}{16}
=-2\sqrt{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+32\sqrt{5}}{2*8}=\frac{0+32\sqrt{5}}{16}
=\frac{32\sqrt{5}}{16}
=2\sqrt{5}
$