49s^3-1s=0

Solution for 49s^3-1s=0 equation:

Simplifying
49s3 + -1s = 0

Reorder the terms:
-1s + 49s3 = 0

Solving
-1s + 49s3 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), 's'.
s(-1 + 49s2) = 0

Factor a difference between two squares.
s((1 + 7s)(-1 + 7s)) = 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 '(1 + 7s)' equal to zero and attempt to solve:

Simplifying
1 + 7s = 0

Solving
1 + 7s = 0

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

Add '-1' to each side of the equation.
1 + -1 + 7s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7s = 0 + -1
7s = 0 + -1

Combine like terms: 0 + -1 = -1
7s = -1

Divide each side by '7'.
s = -0.1428571429

Simplifying
s = -0.1428571429
Subproblem 3
Set the factor '(-1 + 7s)' equal to zero and attempt to solve:

Simplifying
-1 + 7s = 0

Solving
-1 + 7s = 0

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

Add '1' to each side of the equation.
-1 + 1 + 7s = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 7s = 0 + 1
7s = 0 + 1

Combine like terms: 0 + 1 = 1
7s = 1

Divide each side by '7'.
s = 0.1428571429

Simplifying
s = 0.1428571429
Solution
s = {0, -0.1428571429, 0.1428571429}