0=8x^2+88x+30

Solution for 0=8x^2+88x+30 equation:

0=8x^2+88x+30

We move all terms to the left:

0-(8x^2+88x+30)=0

We add all the numbers together, and all the variables

-(8x^2+88x+30)=0

We get rid of parentheses

-8x^2-88x-30=0

a = -8; b = -88; c = -30;
Δ = b2-4ac
Δ = -882-4·(-8)·(-30)
Δ = 6784
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:

$\sqrt{\Delta}=\sqrt{6784}=\sqrt{64*106}=\sqrt{64}*\sqrt{106}=8\sqrt{106}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-88)-8\sqrt{106}}{2*-8}=\frac{88-8\sqrt{106}}{-16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-88)+8\sqrt{106}}{2*-8}=\frac{88+8\sqrt{106}}{-16}
$