0=-16x^2+48x+32

Solution for 0=-16x^2+48x+32 equation:

0=-16x^2+48x+32

We move all terms to the left:

0-(-16x^2+48x+32)=0

We add all the numbers together, and all the variables

-(-16x^2+48x+32)=0

We get rid of parentheses

16x^2-48x-32=0

a = 16; b = -48; c = -32;
Δ = b2-4ac
Δ = -482-4·16·(-32)
Δ = 4352
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:

$\sqrt{\Delta}=\sqrt{4352}=\sqrt{256*17}=\sqrt{256}*\sqrt{17}=16\sqrt{17}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-48)-16\sqrt{17}}{2*16}=\frac{48-16\sqrt{17}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-48)+16\sqrt{17}}{2*16}=\frac{48+16\sqrt{17}}{32}
$