2x^6+31x^3=16

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Solution for 2x^6+31x^3=16 equation:


Simplifying
2x6 + 31x3 = 16

Reorder the terms:
31x3 + 2x6 = 16

Solving
31x3 + 2x6 = 16

Solving for variable 'x'.

Reorder the terms:
-16 + 31x3 + 2x6 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + 31x3 + 2x6 = 0

Factor a trinomial.
(-16 + -1x3)(1 + -2x3) = 0

Subproblem 1

Set the factor '(-16 + -1x3)' equal to zero and attempt to solve: Simplifying -16 + -1x3 = 0 Solving -16 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1x3 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1x3 = 0 + 16 -1x3 = 0 + 16 Combine like terms: 0 + 16 = 16 -1x3 = 16 Divide each side by '-1'. x3 = -16 Simplifying x3 = -16 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 + -2x3)' equal to zero and attempt to solve: Simplifying 1 + -2x3 = 0 Solving 1 + -2x3 = 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 + -2x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x3 = 0 + -1 -2x3 = 0 + -1 Combine like terms: 0 + -1 = -1 -2x3 = -1 Divide each side by '-2'. x3 = 0.5 Simplifying x3 = 0.5 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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