4x^6+8x^3+16x^2=0

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Solution for 4x^6+8x^3+16x^2=0 equation:


Simplifying
4x6 + 8x3 + 16x2 = 0

Reorder the terms:
16x2 + 8x3 + 4x6 = 0

Solving
16x2 + 8x3 + 4x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(4 + 2x + x4) = 0

Ignore the factor 4.

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 '(4 + 2x + x4)' equal to zero and attempt to solve: Simplifying 4 + 2x + x4 = 0 Solving 4 + 2x + 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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