0=16x^2+88x+24

Solution for 0=16x^2+88x+24 equation:

0=16x^2+88x+24

We move all terms to the left:

0-(16x^2+88x+24)=0

We add all the numbers together, and all the variables

-(16x^2+88x+24)=0

We get rid of parentheses

-16x^2-88x-24=0

a = -16; b = -88; c = -24;
Δ = b2-4ac
Δ = -882-4·(-16)·(-24)
Δ = 6208
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:

$\sqrt{\Delta}=\sqrt{6208}=\sqrt{64*97}=\sqrt{64}*\sqrt{97}=8\sqrt{97}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-88)-8\sqrt{97}}{2*-16}=\frac{88-8\sqrt{97}}{-32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-88)+8\sqrt{97}}{2*-16}=\frac{88+8\sqrt{97}}{-32}
$