0=16x^2+80x-48

Solution for 0=16x^2+80x-48 equation:

0=16x^2+80x-48

We move all terms to the left:

0-(16x^2+80x-48)=0

We add all the numbers together, and all the variables

-(16x^2+80x-48)=0

We get rid of parentheses

-16x^2-80x+48=0

a = -16; b = -80; c = +48;
Δ = b2-4ac
Δ = -802-4·(-16)·48
Δ = 9472
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:

$\sqrt{\Delta}=\sqrt{9472}=\sqrt{256*37}=\sqrt{256}*\sqrt{37}=16\sqrt{37}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-80)-16\sqrt{37}}{2*-16}=\frac{80-16\sqrt{37}}{-32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-80)+16\sqrt{37}}{2*-16}=\frac{80+16\sqrt{37}}{-32}
$