36x^2-90x-54=540

Solution for 36x^2-90x-54=540 equation:

36x^2-90x-54=540

We move all terms to the left:

36x^2-90x-54-(540)=0

We add all the numbers together, and all the variables

36x^2-90x-594=0

a = 36; b = -90; c = -594;
Δ = b2-4ac
Δ = -902-4·36·(-594)
Δ = 93636
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{93636}=306$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-90)-306}{2*36}=\frac{-216}{72}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-90)+306}{2*36}=\frac{396}{72}
=5+1/2
$