X(x+58)=180

Solution for X(x+58)=180 equation:

X(X+58)=180

We move all terms to the left:

X(X+58)-(180)=0

We multiply parentheses

X^2+58X-180=0

a = 1; b = 58; c = -180;
Δ = b2-4ac
Δ = 582-4·1·(-180)
Δ = 4084
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{4084}=\sqrt{4*1021}=\sqrt{4}*\sqrt{1021}=2\sqrt{1021}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(58)-2\sqrt{1021}}{2*1}=\frac{-58-2\sqrt{1021}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(58)+2\sqrt{1021}}{2*1}=\frac{-58+2\sqrt{1021}}{2}
$