(3x^2-x^4)*(x^4-1)=0

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Solution for (3x^2-x^4)*(x^4-1)=0 equation:


Simplifying
(3x2 + -1x4)(x4 + -1) = 0

Reorder the terms:
(3x2 + -1x4)(-1 + x4) = 0

Multiply (3x2 + -1x4) * (-1 + x4)
(3x2 * (-1 + x4) + -1x4 * (-1 + x4)) = 0
((-1 * 3x2 + x4 * 3x2) + -1x4 * (-1 + x4)) = 0
((-3x2 + 3x6) + -1x4 * (-1 + x4)) = 0
(-3x2 + 3x6 + (-1 * -1x4 + x4 * -1x4)) = 0
(-3x2 + 3x6 + (1x4 + -1x8)) = 0

Reorder the terms:
(-3x2 + 1x4 + 3x6 + -1x8) = 0
(-3x2 + 1x4 + 3x6 + -1x8) = 0

Solving
-3x2 + 1x4 + 3x6 + -1x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-3 + x2 + 3x4 + -1x6) = 0

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(-3 + x2 + 3x4 + -1x6)' equal to zero and attempt to solve: Simplifying -3 + x2 + 3x4 + -1x6 = 0 Solving -3 + x2 + 3x4 + -1x6 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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