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

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


Simplifying
2x6 + 8x3 + 6 = 0

Reorder the terms:
6 + 8x3 + 2x6 = 0

Solving
6 + 8x3 + 2x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 4x3 + x6) = 0

Factor a trinomial.
2((3 + x3)(1 + x3)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(3 + x3)' equal to zero and attempt to solve: Simplifying 3 + x3 = 0 Solving 3 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x3 = 0 + -3 x3 = 0 + -3 Combine like terms: 0 + -3 = -3 x3 = -3 Simplifying x3 = -3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + x3)' equal to zero and attempt to solve: Simplifying 1 + x3 = 0 Solving 1 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x3 = 0 + -1 x3 = 0 + -1 Combine like terms: 0 + -1 = -1 x3 = -1 Simplifying x3 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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