0=8x^2-7x-30

Solution for 0=8x^2-7x-30 equation:

0=8x^2-7x-30

We move all terms to the left:

0-(8x^2-7x-30)=0

We add all the numbers together, and all the variables

-(8x^2-7x-30)=0

We get rid of parentheses

-8x^2+7x+30=0

a = -8; b = 7; c = +30;
Δ = b2-4ac
Δ = 72-4·(-8)·30
Δ = 1009
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-\sqrt{1009}}{2*-8}=\frac{-7-\sqrt{1009}}{-16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{1009}}{2*-8}=\frac{-7+\sqrt{1009}}{-16}
$