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

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


Simplifying
(s2 + -9)(s4 + -3s2 + -2) = 2(s2 + -9)

Reorder the terms:
(-9 + s2)(s4 + -3s2 + -2) = 2(s2 + -9)

Reorder the terms:
(-9 + s2)(-2 + -3s2 + s4) = 2(s2 + -9)

Multiply (-9 + s2) * (-2 + -3s2 + s4)
(-9(-2 + -3s2 + s4) + s2(-2 + -3s2 + s4)) = 2(s2 + -9)
((-2 * -9 + -3s2 * -9 + s4 * -9) + s2(-2 + -3s2 + s4)) = 2(s2 + -9)
((18 + 27s2 + -9s4) + s2(-2 + -3s2 + s4)) = 2(s2 + -9)
(18 + 27s2 + -9s4 + (-2 * s2 + -3s2 * s2 + s4 * s2)) = 2(s2 + -9)
(18 + 27s2 + -9s4 + (-2s2 + -3s4 + s6)) = 2(s2 + -9)

Reorder the terms:
(18 + 27s2 + -2s2 + -9s4 + -3s4 + s6) = 2(s2 + -9)

Combine like terms: 27s2 + -2s2 = 25s2
(18 + 25s2 + -9s4 + -3s4 + s6) = 2(s2 + -9)

Combine like terms: -9s4 + -3s4 = -12s4
(18 + 25s2 + -12s4 + s6) = 2(s2 + -9)

Reorder the terms:
18 + 25s2 + -12s4 + s6 = 2(-9 + s2)
18 + 25s2 + -12s4 + s6 = (-9 * 2 + s2 * 2)
18 + 25s2 + -12s4 + s6 = (-18 + 2s2)

Solving
18 + 25s2 + -12s4 + s6 = -18 + 2s2

Solving for variable 's'.

Reorder the terms:
18 + 18 + 25s2 + -2s2 + -12s4 + s6 = -18 + 2s2 + 18 + -2s2

Combine like terms: 18 + 18 = 36
36 + 25s2 + -2s2 + -12s4 + s6 = -18 + 2s2 + 18 + -2s2

Combine like terms: 25s2 + -2s2 = 23s2
36 + 23s2 + -12s4 + s6 = -18 + 2s2 + 18 + -2s2

Reorder the terms:
36 + 23s2 + -12s4 + s6 = -18 + 18 + 2s2 + -2s2

Combine like terms: -18 + 18 = 0
36 + 23s2 + -12s4 + s6 = 0 + 2s2 + -2s2
36 + 23s2 + -12s4 + s6 = 2s2 + -2s2

Combine like terms: 2s2 + -2s2 = 0
36 + 23s2 + -12s4 + s6 = 0

The solution to this equation could not be determined.

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