1s^3=50s

Solution for 1s^3=50s equation:

Simplifying
1s3 = 50s

Solving
1s3 = 50s

Solving for variable 's'.

Reorder the terms:
-50s + 1s3 = 50s + -50s

Combine like terms: 50s + -50s = 0
-50s + 1s3 = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-50 + s2) = 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 '(-50 + s2)' equal to zero and attempt to solve:

Simplifying
-50 + s2 = 0

Solving
-50 + s2 = 0

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

Add '50' to each side of the equation.
-50 + 50 + s2 = 0 + 50

Combine like terms: -50 + 50 = 0
0 + s2 = 0 + 50
s2 = 0 + 50

Combine like terms: 0 + 50 = 50
s2 = 50

Simplifying
s2 = 50

Take the square root of each side:
s = {-7.071067812, 7.071067812}
Solution
s = {0, -7.071067812, 7.071067812}