s^2+42s=0

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

Simplifying
s2 + 42s = 0

Reorder the terms:
42s + s2 = 0

Solving
42s + s2 = 0

Solving for variable 's'.

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

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

Simplifying
s = 0

Solving
s = 0

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

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

Simplifying
42 + s = 0

Solving
42 + s = 0

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

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

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

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

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