8(w+4)=w(w-2)(w+4)

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Solution for 8(w+4)=w(w-2)(w+4) equation:


Simplifying
8(w + 4) = w(w + -2)(w + 4)

Reorder the terms:
8(4 + w) = w(w + -2)(w + 4)
(4 * 8 + w * 8) = w(w + -2)(w + 4)
(32 + 8w) = w(w + -2)(w + 4)

Reorder the terms:
32 + 8w = w(-2 + w)(w + 4)

Reorder the terms:
32 + 8w = w(-2 + w)(4 + w)

Multiply (-2 + w) * (4 + w)
32 + 8w = w(-2(4 + w) + w(4 + w))
32 + 8w = w((4 * -2 + w * -2) + w(4 + w))
32 + 8w = w((-8 + -2w) + w(4 + w))
32 + 8w = w(-8 + -2w + (4 * w + w * w))
32 + 8w = w(-8 + -2w + (4w + w2))

Combine like terms: -2w + 4w = 2w
32 + 8w = w(-8 + 2w + w2)
32 + 8w = (-8 * w + 2w * w + w2 * w)
32 + 8w = (-8w + 2w2 + w3)

Solving
32 + 8w = -8w + 2w2 + w3

Solving for variable 'w'.

Combine like terms: 8w + 8w = 16w
32 + 16w + -2w2 + -1w3 = -8w + 2w2 + w3 + 8w + -2w2 + -1w3

Reorder the terms:
32 + 16w + -2w2 + -1w3 = -8w + 8w + 2w2 + -2w2 + w3 + -1w3

Combine like terms: -8w + 8w = 0
32 + 16w + -2w2 + -1w3 = 0 + 2w2 + -2w2 + w3 + -1w3
32 + 16w + -2w2 + -1w3 = 2w2 + -2w2 + w3 + -1w3

Combine like terms: 2w2 + -2w2 = 0
32 + 16w + -2w2 + -1w3 = 0 + w3 + -1w3
32 + 16w + -2w2 + -1w3 = w3 + -1w3

Combine like terms: w3 + -1w3 = 0
32 + 16w + -2w2 + -1w3 = 0

The solution to this equation could not be determined.

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