(w^2-9)(w^4-3w^2-2)=2(w^2-9)

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Solution for (w^2-9)(w^4-3w^2-2)=2(w^2-9) equation: 


Simplifying
(w2 + -9)(w4 + -3w2 + -2) = 2(w2 + -9)

Reorder the terms:
(-9 + w2)(w4 + -3w2 + -2) = 2(w2 + -9)

Reorder the terms:
(-9 + w2)(-2 + -3w2 + w4) = 2(w2 + -9)

Multiply (-9 + w2) * (-2 + -3w2 + w4)
(-9(-2 + -3w2 + w4) + w2(-2 + -3w2 + w4)) = 2(w2 + -9)
((-2 * -9 + -3w2 * -9 + w4 * -9) + w2(-2 + -3w2 + w4)) = 2(w2 + -9)
((18 + 27w2 + -9w4) + w2(-2 + -3w2 + w4)) = 2(w2 + -9)
(18 + 27w2 + -9w4 + (-2 * w2 + -3w2 * w2 + w4 * w2)) = 2(w2 + -9)
(18 + 27w2 + -9w4 + (-2w2 + -3w4 + w6)) = 2(w2 + -9)

Reorder the terms:
(18 + 27w2 + -2w2 + -9w4 + -3w4 + w6) = 2(w2 + -9)

Combine like terms: 27w2 + -2w2 = 25w2
(18 + 25w2 + -9w4 + -3w4 + w6) = 2(w2 + -9)

Combine like terms: -9w4 + -3w4 = -12w4
(18 + 25w2 + -12w4 + w6) = 2(w2 + -9)

Reorder the terms:
18 + 25w2 + -12w4 + w6 = 2(-9 + w2)
18 + 25w2 + -12w4 + w6 = (-9 * 2 + w2 * 2)
18 + 25w2 + -12w4 + w6 = (-18 + 2w2)

Solving
18 + 25w2 + -12w4 + w6 = -18 + 2w2

Solving for variable 'w'.

Reorder the terms:
18 + 18 + 25w2 + -2w2 + -12w4 + w6 = -18 + 2w2 + 18 + -2w2

Combine like terms: 18 + 18 = 36
36 + 25w2 + -2w2 + -12w4 + w6 = -18 + 2w2 + 18 + -2w2

Combine like terms: 25w2 + -2w2 = 23w2
36 + 23w2 + -12w4 + w6 = -18 + 2w2 + 18 + -2w2

Reorder the terms:
36 + 23w2 + -12w4 + w6 = -18 + 18 + 2w2 + -2w2

Combine like terms: -18 + 18 = 0
36 + 23w2 + -12w4 + w6 = 0 + 2w2 + -2w2
36 + 23w2 + -12w4 + w6 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
36 + 23w2 + -12w4 + w6 = 0

The solution to this equation could not be determined.

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