X(x+52+61)=180

Solution for X(x+52+61)=180 equation:

X(X+52+61)=180

We move all terms to the left:

X(X+52+61)-(180)=0

We add all the numbers together, and all the variables

X(X+113)-180=0

We multiply parentheses

X^2+113X-180=0

a = 1; b = 113; c = -180;
Δ = b2-4ac
Δ = 1132-4·1·(-180)
Δ = 13489
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{-(113)-\sqrt{13489}}{2*1}=\frac{-113-\sqrt{13489}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(113)+\sqrt{13489}}{2*1}=\frac{-113+\sqrt{13489}}{2}
$