(1-2x^2+x^4)*(1-2x^2+x^4)=

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Solution for (1-2x^2+x^4)*(1-2x^2+x^4)= equation:


Simplifying
(1 + -2x2 + x4)(1 + -2x2 + x4) = 0

Multiply (1 + -2x2 + x4) * (1 + -2x2 + x4)
(1(1 + -2x2 + x4) + -2x2 * (1 + -2x2 + x4) + x4(1 + -2x2 + x4)) = 0
((1 * 1 + -2x2 * 1 + x4 * 1) + -2x2 * (1 + -2x2 + x4) + x4(1 + -2x2 + x4)) = 0
((1 + -2x2 + 1x4) + -2x2 * (1 + -2x2 + x4) + x4(1 + -2x2 + x4)) = 0
(1 + -2x2 + 1x4 + (1 * -2x2 + -2x2 * -2x2 + x4 * -2x2) + x4(1 + -2x2 + x4)) = 0
(1 + -2x2 + 1x4 + (-2x2 + 4x4 + -2x6) + x4(1 + -2x2 + x4)) = 0
(1 + -2x2 + 1x4 + -2x2 + 4x4 + -2x6 + (1 * x4 + -2x2 * x4 + x4 * x4)) = 0
(1 + -2x2 + 1x4 + -2x2 + 4x4 + -2x6 + (1x4 + -2x6 + x8)) = 0

Reorder the terms:
(1 + -2x2 + -2x2 + 1x4 + 4x4 + 1x4 + -2x6 + -2x6 + x8) = 0

Combine like terms: -2x2 + -2x2 = -4x2
(1 + -4x2 + 1x4 + 4x4 + 1x4 + -2x6 + -2x6 + x8) = 0

Combine like terms: 1x4 + 4x4 = 5x4
(1 + -4x2 + 5x4 + 1x4 + -2x6 + -2x6 + x8) = 0

Combine like terms: 5x4 + 1x4 = 6x4
(1 + -4x2 + 6x4 + -2x6 + -2x6 + x8) = 0

Combine like terms: -2x6 + -2x6 = -4x6
(1 + -4x2 + 6x4 + -4x6 + x8) = 0

Solving
1 + -4x2 + 6x4 + -4x6 + x8 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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