18x+117+x2=360

Solution for 18x+117+x2=360 equation:

18x+117+x2=360

We move all terms to the left:

18x+117+x2-(360)=0

We add all the numbers together, and all the variables

x^2+18x-243=0

a = 1; b = 18; c = -243;
Δ = b2-4ac
Δ = 182-4·1·(-243)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-36}{2*1}=\frac{-54}{2}
=-27
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+36}{2*1}=\frac{18}{2}
=9
$