2x(x^4+1)+4x^2(x^3+1)=

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


Simplifying
2x(x4 + 1) + 4x2(x3 + 1) = 0

Reorder the terms:
2x(1 + x4) + 4x2(x3 + 1) = 0
(1 * 2x + x4 * 2x) + 4x2(x3 + 1) = 0
(2x + 2x5) + 4x2(x3 + 1) = 0

Reorder the terms:
2x + 2x5 + 4x2(1 + x3) = 0
2x + 2x5 + (1 * 4x2 + x3 * 4x2) = 0
2x + 2x5 + (4x2 + 4x5) = 0

Reorder the terms:
2x + 4x2 + 2x5 + 4x5 = 0

Combine like terms: 2x5 + 4x5 = 6x5
2x + 4x2 + 6x5 = 0

Solving
2x + 4x2 + 6x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(1 + 2x + 3x4) = 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 '(1 + 2x + 3x4)' equal to zero and attempt to solve: Simplifying 1 + 2x + 3x4 = 0 Solving 1 + 2x + 3x4 = 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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