147w^5-3w^3=0

Solution for 147w^5-3w^3=0 equation:

Simplifying
147w5 + -3w3 = 0

Reorder the terms:
-3w3 + 147w5 = 0

Solving
-3w3 + 147w5 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3w3'.
3w3(-1 + 49w2) = 0

Factor a difference between two squares.
3w3((1 + 7w)(-1 + 7w)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'w3' equal to zero and attempt to solve:

Simplifying
w3 = 0

Solving
w3 = 0

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

Simplifying
w3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(1 + 7w)' equal to zero and attempt to solve:

Simplifying
1 + 7w = 0

Solving
1 + 7w = 0

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

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

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

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

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

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

Simplifying
-1 + 7w = 0

Solving
-1 + 7w = 0

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

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

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

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

Divide each side by '7'.
w = 0.1428571429

Simplifying
w = 0.1428571429
Solution
w = {-0.1428571429, 0.1428571429}