(w^2+w-2)(4w-32)=0

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Solution for (w^2+w-2)(4w-32)=0 equation:


Simplifying
(w2 + w + -2)(4w + -32) = 0

Reorder the terms:
(-2 + w + w2)(4w + -32) = 0

Reorder the terms:
(-2 + w + w2)(-32 + 4w) = 0

Multiply (-2 + w + w2) * (-32 + 4w)
(-2(-32 + 4w) + w(-32 + 4w) + w2(-32 + 4w)) = 0
((-32 * -2 + 4w * -2) + w(-32 + 4w) + w2(-32 + 4w)) = 0
((64 + -8w) + w(-32 + 4w) + w2(-32 + 4w)) = 0
(64 + -8w + (-32 * w + 4w * w) + w2(-32 + 4w)) = 0
(64 + -8w + (-32w + 4w2) + w2(-32 + 4w)) = 0
(64 + -8w + -32w + 4w2 + (-32 * w2 + 4w * w2)) = 0
(64 + -8w + -32w + 4w2 + (-32w2 + 4w3)) = 0

Combine like terms: -8w + -32w = -40w
(64 + -40w + 4w2 + -32w2 + 4w3) = 0

Combine like terms: 4w2 + -32w2 = -28w2
(64 + -40w + -28w2 + 4w3) = 0

Solving
64 + -40w + -28w2 + 4w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4'.
4(16 + -10w + -7w2 + w3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(16 + -10w + -7w2 + w3)' equal to zero and attempt to solve: Simplifying 16 + -10w + -7w2 + w3 = 0 Solving 16 + -10w + -7w2 + 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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