264=(w)*(w-4)*((2*w)+10)

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Solution for 264=(w)*(w-4)*((2*w)+10) equation: 


Simplifying
264 = (w)(w + -4)((2w) + 10)

Reorder the terms:
264 = w(-4 + w)((2w) + 10)

Reorder the terms:
264 = w(-4 + w)(10 + (2w))

Multiply (-4 + w) * (10 + (2w))
264 = w(-4(10 + (2w)) + w(10 + (2w)))
264 = w((10 * -4 + (2w) * -4) + w(10 + (2w)))
264 = w((-40 + -8w) + w(10 + (2w)))
264 = w(-40 + -8w + (10 * w + (2w) * w))
264 = w(-40 + -8w + (10w + 2w2))

Combine like terms: -8w + 10w = 2w
264 = w(-40 + 2w + 2w2)
264 = (-40 * w + 2w * w + 2w2 * w)
264 = (-40w + 2w2 + 2w3)

Solving
264 = -40w + 2w2 + 2w3

Solving for variable 'w'.

Reorder the terms:
264 + 40w + -2w2 + -2w3 = -40w + 40w + 2w2 + -2w2 + 2w3 + -2w3

Combine like terms: -40w + 40w = 0
264 + 40w + -2w2 + -2w3 = 0 + 2w2 + -2w2 + 2w3 + -2w3
264 + 40w + -2w2 + -2w3 = 2w2 + -2w2 + 2w3 + -2w3

Combine like terms: 2w2 + -2w2 = 0
264 + 40w + -2w2 + -2w3 = 0 + 2w3 + -2w3
264 + 40w + -2w2 + -2w3 = 2w3 + -2w3

Combine like terms: 2w3 + -2w3 = 0
264 + 40w + -2w2 + -2w3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(132 + 20w + -1w2 + -1w3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(132 + 20w + -1w2 + -1w3)' equal to zero and attempt to solve:

Simplifying
132 + 20w + -1w2 + -1w3 = 0

Solving
132 + 20w + -1w2 + -1w3 = 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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