6x^2-18x-24=36

Solution for 6x^2-18x-24=36 equation:

6x^2-18x-24=36

We move all terms to the left:

6x^2-18x-24-(36)=0

We add all the numbers together, and all the variables

6x^2-18x-60=0

a = 6; b = -18; c = -60;
Δ = b2-4ac
Δ = -182-4·6·(-60)
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-42}{2*6}=\frac{-24}{12}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+42}{2*6}=\frac{60}{12}
=5
$