5x^2-112=-8x

Solution for 5x^2-112=-8x equation:

5x^2-112=-8x

We move all terms to the left:

5x^2-112-(-8x)=0

We get rid of parentheses

5x^2+8x-112=0

a = 5; b = 8; c = -112;
Δ = b2-4ac
Δ = 82-4·5·(-112)
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-48}{2*5}=\frac{-56}{10}
=-5+3/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+48}{2*5}=\frac{40}{10}
=4
$