X=36x2+5-60

Solution for X=36x2+5-60 equation:

X=36X^2+5-60

We move all terms to the left:

X-(36X^2+5-60)=0

We get rid of parentheses

-36X^2+X-5+60=0

We add all the numbers together, and all the variables

-36X^2+X+55=0

a = -36; b = 1; c = +55;
Δ = b2-4ac
Δ = 12-4·(-36)·55
Δ = 7921
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7921}=89$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-89}{2*-36}=\frac{-90}{-72}
=1+1/4
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+89}{2*-36}=\frac{88}{-72}
=-1+2/9
$