-6x2-48=36x

Solution for -6x2-48=36x equation:

-6x^2-48=36x

We move all terms to the left:

-6x^2-48-(36x)=0

a = -6; b = -36; c = -48;
Δ = b2-4ac
Δ = -362-4·(-6)·(-48)
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-12}{2*-6}=\frac{24}{-12}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+12}{2*-6}=\frac{48}{-12}
=-4
$