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

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


Simplifying
2(x3 + -3x)(x4 + 1) = 0

Reorder the terms:
2(-3x + x3)(x4 + 1) = 0

Reorder the terms:
2(-3x + x3)(1 + x4) = 0

Multiply (-3x + x3) * (1 + x4)
2(-3x * (1 + x4) + x3(1 + x4)) = 0
2((1 * -3x + x4 * -3x) + x3(1 + x4)) = 0
2((-3x + -3x5) + x3(1 + x4)) = 0
2(-3x + -3x5 + (1 * x3 + x4 * x3)) = 0
2(-3x + -3x5 + (1x3 + x7)) = 0

Reorder the terms:
2(-3x + 1x3 + -3x5 + x7) = 0
2(-3x + 1x3 + -3x5 + x7) = 0
(-3x * 2 + 1x3 * 2 + -3x5 * 2 + x7 * 2) = 0
(-6x + 2x3 + -6x5 + 2x7) = 0

Solving
-6x + 2x3 + -6x5 + 2x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-3 + x2 + -3x4 + x6) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-3 + x2 + -3x4 + x6)' equal to zero and attempt to solve: Simplifying -3 + x2 + -3x4 + x6 = 0 Solving -3 + x2 + -3x4 + x6 = 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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