1152=(2w+4)(w)(18-w)

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Solution for 1152=(2w+4)(w)(18-w) equation: 


Simplifying
1152 = (2w + 4)(w)(18 + -1w)

Reorder the terms:
1152 = (4 + 2w)(w)(18 + -1w)

Reorder the terms for easier multiplication:
1152 = w(4 + 2w)(18 + -1w)

Multiply (4 + 2w) * (18 + -1w)
1152 = w(4(18 + -1w) + 2w * (18 + -1w))
1152 = w((18 * 4 + -1w * 4) + 2w * (18 + -1w))
1152 = w((72 + -4w) + 2w * (18 + -1w))
1152 = w(72 + -4w + (18 * 2w + -1w * 2w))
1152 = w(72 + -4w + (36w + -2w2))

Combine like terms: -4w + 36w = 32w
1152 = w(72 + 32w + -2w2)
1152 = (72 * w + 32w * w + -2w2 * w)
1152 = (72w + 32w2 + -2w3)

Solving
1152 = 72w + 32w2 + -2w3

Solving for variable 'w'.

Reorder the terms:
1152 + -72w + -32w2 + 2w3 = 72w + -72w + 32w2 + -32w2 + -2w3 + 2w3

Combine like terms: 72w + -72w = 0
1152 + -72w + -32w2 + 2w3 = 0 + 32w2 + -32w2 + -2w3 + 2w3
1152 + -72w + -32w2 + 2w3 = 32w2 + -32w2 + -2w3 + 2w3

Combine like terms: 32w2 + -32w2 = 0
1152 + -72w + -32w2 + 2w3 = 0 + -2w3 + 2w3
1152 + -72w + -32w2 + 2w3 = -2w3 + 2w3

Combine like terms: -2w3 + 2w3 = 0
1152 + -72w + -32w2 + 2w3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(576 + -36w + -16w2 + w3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(576 + -36w + -16w2 + w3)' equal to zero and attempt to solve:

Simplifying
576 + -36w + -16w2 + w3 = 0

Solving
576 + -36w + -16w2 + 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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