x+36=x(2)-18

Solution for x+36=x(2)-18 equation:

x+36=x(2)-18

We move all terms to the left:

x+36-(x(2)-18)=0

We add all the numbers together, and all the variables

-(+x^2-18)+x+36=0

We get rid of parentheses

-x^2+x+18+36=0

We add all the numbers together, and all the variables

-1x^2+x+54=0

a = -1; b = 1; c = +54;
Δ = b2-4ac
Δ = 12-4·(-1)·54
Δ = 217
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{217}}{2*-1}=\frac{-1-\sqrt{217}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{217}}{2*-1}=\frac{-1+\sqrt{217}}{-2}
$