f^2+42f=0

Solution for f^2+42f=0 equation:

Simplifying
f2 + 42f = 0

Reorder the terms:
42f + f2 = 0

Solving
42f + f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), 'f'.
f(42 + 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 '(42 + f)' equal to zero and attempt to solve:

Simplifying
42 + f = 0

Solving
42 + f = 0

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

Add '-42' to each side of the equation.
42 + -42 + f = 0 + -42

Combine like terms: 42 + -42 = 0
0 + f = 0 + -42
f = 0 + -42

Combine like terms: 0 + -42 = -42
f = -42

Simplifying
f = -42
Solution
f = {0, -42}