2x^2-30x=-112

Solution for 2x^2-30x=-112 equation:

2x^2-30x=-112

We move all terms to the left:

2x^2-30x-(-112)=0

We add all the numbers together, and all the variables

2x^2-30x+112=0

a = 2; b = -30; c = +112;
Δ = b2-4ac
Δ = -302-4·2·112
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-2}{2*2}=\frac{28}{4}
=7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+2}{2*2}=\frac{32}{4}
=8
$