0=-16x^2+80x+30

Solution for 0=-16x^2+80x+30 equation:

0=-16x^2+80x+30

We move all terms to the left:

0-(-16x^2+80x+30)=0

We add all the numbers together, and all the variables

-(-16x^2+80x+30)=0

We get rid of parentheses

16x^2-80x-30=0

a = 16; b = -80; c = -30;
Δ = b2-4ac
Δ = -802-4·16·(-30)
Δ = 8320
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:

$\sqrt{\Delta}=\sqrt{8320}=\sqrt{64*130}=\sqrt{64}*\sqrt{130}=8\sqrt{130}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-80)-8\sqrt{130}}{2*16}=\frac{80-8\sqrt{130}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-80)+8\sqrt{130}}{2*16}=\frac{80+8\sqrt{130}}{32}
$