2x^6-18x^3+16=0

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Solution for 2x^6-18x^3+16=0 equation:


Simplifying
2x6 + -18x3 + 16 = 0

Reorder the terms:
16 + -18x3 + 2x6 = 0

Solving
16 + -18x3 + 2x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -9x3 + x6) = 0

Factor a trinomial.
2((1 + -1x3)(8 + -1x3)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -1x3)' equal to zero and attempt to solve: Simplifying 1 + -1x3 = 0 Solving 1 + -1x3 = 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 + -1x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x3 = 0 + -1 -1x3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1x3 = -1 Divide each side by '-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.

Subproblem 2

Set the factor '(8 + -1x3)' equal to zero and attempt to solve: Simplifying 8 + -1x3 = 0 Solving 8 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x3 = 0 + -8 -1x3 = 0 + -8 Combine like terms: 0 + -8 = -8 -1x3 = -8 Divide each side by '-1'. x3 = 8 Simplifying x3 = 8 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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