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

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


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

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

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

Multiply (-1 + x2) * (4 + 4x + x2)
x(-1(4 + 4x + x2) + x2(4 + 4x + x2)) = 0
x((4 * -1 + 4x * -1 + x2 * -1) + x2(4 + 4x + x2)) = 0
x((-4 + -4x + -1x2) + x2(4 + 4x + x2)) = 0
x(-4 + -4x + -1x2 + (4 * x2 + 4x * x2 + x2 * x2)) = 0
x(-4 + -4x + -1x2 + (4x2 + 4x3 + x4)) = 0

Combine like terms: -1x2 + 4x2 = 3x2
x(-4 + -4x + 3x2 + 4x3 + x4) = 0
(-4 * x + -4x * x + 3x2 * x + 4x3 * x + x4 * x) = 0
(-4x + -4x2 + 3x3 + 4x4 + x5) = 0

Solving
-4x + -4x2 + 3x3 + 4x4 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + -4x + 3x2 + 4x3 + x4) = 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 '(-4 + -4x + 3x2 + 4x3 + x4)' equal to zero and attempt to solve: Simplifying -4 + -4x + 3x2 + 4x3 + x4 = 0 Solving -4 + -4x + 3x2 + 4x3 + x4 = 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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