s^2(s+7+12)=0

Solution for s^2(s+7+12)=0 equation:

Simplifying
s2(s + 7 + 12) = 0

Reorder the terms:
s2(7 + 12 + s) = 0

Combine like terms: 7 + 12 = 19
s2(19 + s) = 0
(19 * s2 + s * s2) = 0
(19s2 + s3) = 0

Solving
19s2 + s3 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), 's2'.
s2(19 + s) = 0

Subproblem 1
Set the factor 's2' equal to zero and attempt to solve:

Simplifying
s2 = 0

Solving
s2 = 0

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

Simplifying
s2 = 0

Take the square root of each side:
s = {0}
Subproblem 2
Set the factor '(19 + s)' equal to zero and attempt to solve:

Simplifying
19 + s = 0

Solving
19 + s = 0

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

Add '-19' to each side of the equation.
19 + -19 + s = 0 + -19

Combine like terms: 19 + -19 = 0
0 + s = 0 + -19
s = 0 + -19

Combine like terms: 0 + -19 = -19
s = -19

Simplifying
s = -19
Solution
s = {0, -19}