=w^3-w^4-w

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Solution for =w^3-w^4-w equation: 


Simplifying
0 = w3 + -1w4 + -1w

Reorder the terms:
0 = -1w + w3 + -1w4

Solving
0 = -1w + w3 + -1w4

Solving for variable 'w'.
Remove the zero:
w + -1w3 + w4 = -1w + w3 + -1w4 + w + -1w3 + w4

Reorder the terms:
w + -1w3 + w4 = -1w + w + w3 + -1w3 + -1w4 + w4

Combine like terms: -1w + w = 0
w + -1w3 + w4 = 0 + w3 + -1w3 + -1w4 + w4
w + -1w3 + w4 = w3 + -1w3 + -1w4 + w4

Combine like terms: w3 + -1w3 = 0
w + -1w3 + w4 = 0 + -1w4 + w4
w + -1w3 + w4 = -1w4 + w4

Combine like terms: -1w4 + w4 = 0
w + -1w3 + w4 = 0

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


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

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0

Subproblem 2
Set the factor '(1 + -1w2 + w3)' equal to zero and attempt to solve:

Simplifying
1 + -1w2 + w3 = 0

Solving
1 + -1w2 + w3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
w = {0}

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