5x^2-36x-36=36

Solution for 5x^2-36x-36=36 equation:

5x^2-36x-36=36

We move all terms to the left:

5x^2-36x-36-(36)=0

We add all the numbers together, and all the variables

5x^2-36x-72=0

a = 5; b = -36; c = -72;
Δ = b2-4ac
Δ = -362-4·5·(-72)
Δ = 2736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2736}=\sqrt{144*19}=\sqrt{144}*\sqrt{19}=12\sqrt{19}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-12\sqrt{19}}{2*5}=\frac{36-12\sqrt{19}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+12\sqrt{19}}{2*5}=\frac{36+12\sqrt{19}}{10}
$