-2x^2+12x=-54

Solution for -2x^2+12x=-54 equation:

-2x^2+12x=-54

We move all terms to the left:

-2x^2+12x-(-54)=0

We add all the numbers together, and all the variables

-2x^2+12x+54=0

a = -2; b = 12; c = +54;
Δ = b2-4ac
Δ = 122-4·(-2)·54
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{-(12)-24}{2*-2}=\frac{-36}{-4}
=+9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+24}{2*-2}=\frac{12}{-4}
=-3
$