6-6x2=-480

Solution for 6-6x2=-480 equation:

6-6x^2=-480

We move all terms to the left:

6-6x^2-(-480)=0

We add all the numbers together, and all the variables

-6x^2+486=0

a = -6; b = 0; c = +486;
Δ = b2-4ac
Δ = 02-4·(-6)·486
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-108}{2*-6}=\frac{-108}{-12}
=+9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+108}{2*-6}=\frac{108}{-12}
=-9
$