s^2+45s=0

Solution for s^2+45s=0 equation:

Simplifying
s2 + 45s = 0

Reorder the terms:
45s + s2 = 0

Solving
45s + s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), 's'.
s(45 + 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 '(45 + s)' equal to zero and attempt to solve:

Simplifying
45 + s = 0

Solving
45 + s = 0

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

Add '-45' to each side of the equation.
45 + -45 + s = 0 + -45

Combine like terms: 45 + -45 = 0
0 + s = 0 + -45
s = 0 + -45

Combine like terms: 0 + -45 = -45
s = -45

Simplifying
s = -45
Solution
s = {0, -45}