6x^8+12x^4+18x^2=0

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Solution for 6x^8+12x^4+18x^2=0 equation:


Simplifying
6x8 + 12x4 + 18x2 = 0

Reorder the terms:
18x2 + 12x4 + 6x8 = 0

Solving
18x2 + 12x4 + 6x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x2'.
6x2(3 + 2x2 + x6) = 0

Ignore the factor 6.

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 '(3 + 2x2 + x6)' equal to zero and attempt to solve: Simplifying 3 + 2x2 + x6 = 0 Solving 3 + 2x2 + x6 = 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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