0=5x^2+16x-16

Solution for 0=5x^2+16x-16 equation:

0=5x^2+16x-16

We move all terms to the left:

0-(5x^2+16x-16)=0

We add all the numbers together, and all the variables

-(5x^2+16x-16)=0

We get rid of parentheses

-5x^2-16x+16=0

a = -5; b = -16; c = +16;
Δ = b2-4ac
Δ = -162-4·(-5)·16
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-24}{2*-5}=\frac{-8}{-10}
=4/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+24}{2*-5}=\frac{40}{-10}
=-4
$