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

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


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

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

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

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

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

Combine like terms: 10w + -8w = 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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