f^2+31f=

Solution for f^2+31f= equation:

Simplifying
f2 + 31f = 0

Reorder the terms:
31f + f2 = 0

Solving
31f + f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), 'f'.
f(31 + 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 '(31 + f)' equal to zero and attempt to solve:

Simplifying
31 + f = 0

Solving
31 + f = 0

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

Add '-31' to each side of the equation.
31 + -31 + f = 0 + -31

Combine like terms: 31 + -31 = 0
0 + f = 0 + -31
f = 0 + -31

Combine like terms: 0 + -31 = -31
f = -31

Simplifying
f = -31
Solution
f = {0, -31}