=(w+1)(w^2+2w+1)

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Solution for =(w+1)(w^2+2w+1) equation: 


Simplifying
0 = (w + 1)(w2 + 2w + 1)

Reorder the terms:
0 = (1 + w)(w2 + 2w + 1)

Reorder the terms:
0 = (1 + w)(1 + 2w + w2)

Multiply (1 + w) * (1 + 2w + w2)
0 = (1(1 + 2w + w2) + w(1 + 2w + w2))
0 = ((1 * 1 + 2w * 1 + w2 * 1) + w(1 + 2w + w2))
0 = ((1 + 2w + 1w2) + w(1 + 2w + w2))
0 = (1 + 2w + 1w2 + (1 * w + 2w * w + w2 * w))
0 = (1 + 2w + 1w2 + (1w + 2w2 + w3))

Reorder the terms:
0 = (1 + 2w + 1w + 1w2 + 2w2 + w3)

Combine like terms: 2w + 1w = 3w
0 = (1 + 3w + 1w2 + 2w2 + w3)

Combine like terms: 1w2 + 2w2 = 3w2
0 = (1 + 3w + 3w2 + w3)

Solving
0 = 1 + 3w + 3w2 + w3

Solving for variable 'w'.

Combine like terms: 0 + -1 = -1
-1 + -3w + -3w2 + -1w3 = 1 + 3w + 3w2 + w3 + -1 + -3w + -3w2 + -1w3

Reorder the terms:
-1 + -3w + -3w2 + -1w3 = 1 + -1 + 3w + -3w + 3w2 + -3w2 + w3 + -1w3

Combine like terms: 1 + -1 = 0
-1 + -3w + -3w2 + -1w3 = 0 + 3w + -3w + 3w2 + -3w2 + w3 + -1w3
-1 + -3w + -3w2 + -1w3 = 3w + -3w + 3w2 + -3w2 + w3 + -1w3

Combine like terms: 3w + -3w = 0
-1 + -3w + -3w2 + -1w3 = 0 + 3w2 + -3w2 + w3 + -1w3
-1 + -3w + -3w2 + -1w3 = 3w2 + -3w2 + w3 + -1w3

Combine like terms: 3w2 + -3w2 = 0
-1 + -3w + -3w2 + -1w3 = 0 + w3 + -1w3
-1 + -3w + -3w2 + -1w3 = w3 + -1w3

Combine like terms: w3 + -1w3 = 0
-1 + -3w + -3w2 + -1w3 = 0

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

Ignore the factor -1.

Subproblem 1
Set the factor '(1 + 3w + 3w2 + w3)' equal to zero and attempt to solve:

Simplifying
1 + 3w + 3w2 + w3 = 0

Solving
1 + 3w + 3w2 + w3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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