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

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


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

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

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

Multiply (-1 + x) * (x2 + x4)
(-1(x2 + x4) + x(x2 + x4)) = 0
((x2 * -1 + x4 * -1) + x(x2 + x4)) = 0
((-1x2 + -1x4) + x(x2 + x4)) = 0
(-1x2 + -1x4 + (x2 * x + x4 * x)) = 0
(-1x2 + -1x4 + (x3 + x5)) = 0

Reorder the terms:
(-1x2 + x3 + -1x4 + x5) = 0
(-1x2 + x3 + -1x4 + x5) = 0

Solving
-1x2 + x3 + -1x4 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-1 + x + -1x2 + x3) = 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 '(-1 + x + -1x2 + x3)' equal to zero and attempt to solve: Simplifying -1 + x + -1x2 + x3 = 0 Solving -1 + x + -1x2 + x3 = 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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