S^2(-2S-35)=0

Solution for S^2(-2S-35)=0 equation:

Simplifying
S2(-2S + -35) = 0

Reorder the terms:
S2(-35 + -2S) = 0
(-35 * S2 + -2S * S2) = 0
(-35S2 + -2S3) = 0

Solving
-35S2 + -2S3 = 0

Solving for variable 'S'.

Factor out the Greatest Common Factor (GCF), '-1S2'.
-1S2(35 + 2S) = 0

Ignore the factor -1.
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 '(35 + 2S)' equal to zero and attempt to solve:

Simplifying
35 + 2S = 0

Solving
35 + 2S = 0

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

Add '-35' to each side of the equation.
35 + -35 + 2S = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 2S = 0 + -35
2S = 0 + -35

Combine like terms: 0 + -35 = -35
2S = -35

Divide each side by '2'.
S = -17.5

Simplifying
S = -17.5
Solution
S = {0, -17.5}