(4x^5+x)(x^2-1)=0

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Solution for (4x^5+x)(x^2-1)=0 equation:


Simplifying
(4x5 + x)(x2 + -1) = 0

Reorder the terms:
(x + 4x5)(x2 + -1) = 0

Reorder the terms:
(x + 4x5)(-1 + x2) = 0

Multiply (x + 4x5) * (-1 + x2)
(x(-1 + x2) + 4x5 * (-1 + x2)) = 0
((-1 * x + x2 * x) + 4x5 * (-1 + x2)) = 0
((-1x + x3) + 4x5 * (-1 + x2)) = 0
(-1x + x3 + (-1 * 4x5 + x2 * 4x5)) = 0
(-1x + x3 + (-4x5 + 4x7)) = 0
(-1x + x3 + -4x5 + 4x7) = 0

Solving
-1x + x3 + -4x5 + 4x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + x2 + -4x4 + 4x6) = 0

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 '(-1 + x2 + -4x4 + 4x6)' equal to zero and attempt to solve: Simplifying -1 + x2 + -4x4 + 4x6 = 0 Solving -1 + x2 + -4x4 + 4x6 = 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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