f^2+36f=0

Solution for f^2+36f=0 equation:

Simplifying
f2 + 36f = 0

Reorder the terms:
36f + f2 = 0

Solving
36f + f2 = 0

Solving for variable 'f'.

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

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

Simplifying
f = 0

Solving
f = 0

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

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

Simplifying
36 + f = 0

Solving
36 + f = 0

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

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

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

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

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