n^2+42n=0

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

Simplifying
n2 + 42n = 0

Reorder the terms:
42n + n2 = 0

Solving
42n + n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(42 + n) = 0

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

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(42 + n)' equal to zero and attempt to solve:

Simplifying
42 + n = 0

Solving
42 + n = 0

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

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

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

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

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