36x+x^2=

Solution for 36x+x^2= equation:

Simplifying
36x + x2 = 0

Solving
36x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(36 + x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0
Subproblem 2
Set the factor '(36 + x)' equal to zero and attempt to solve:

Simplifying
36 + x = 0

Solving
36 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-36' to each side of the equation.
36 + -36 + x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + x = 0 + -36
x = 0 + -36

Combine like terms: 0 + -36 = -36
x = -36

Simplifying
x = -36
Solution
x = {0, -36}