x*x=360x+x=-53

Solution for x*x=360x+x=-53 equation:

x*x=360x+x=-53

We move all terms to the left:

x*x-(360x+x)=0

We add all the numbers together, and all the variables

x*x-(+361x)=0

Wy multiply elements

x^2-(+361x)=0

We get rid of parentheses

x^2-361x=0

a = 1; b = -361; c = 0;
Δ = b2-4ac
Δ = -3612-4·1·0
Δ = 130321
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{130321}=361$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-361)-361}{2*1}=\frac{0}{2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-361)+361}{2*1}=\frac{722}{2}
=361
$