6x^6-x^3-15=0

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Solution for 6x^6-x^3-15=0 equation:


Simplifying
6x6 + -1x3 + -15 = 0

Reorder the terms:
-15 + -1x3 + 6x6 = 0

Solving
-15 + -1x3 + 6x6 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -2x3)(5 + -3x3) = 0

Subproblem 1

Set the factor '(-3 + -2x3)' equal to zero and attempt to solve: Simplifying -3 + -2x3 = 0 Solving -3 + -2x3 = 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 + -2x3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x3 = 0 + 3 -2x3 = 0 + 3 Combine like terms: 0 + 3 = 3 -2x3 = 3 Divide each side by '-2'. x3 = -1.5 Simplifying x3 = -1.5 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 '(5 + -3x3)' equal to zero and attempt to solve: Simplifying 5 + -3x3 = 0 Solving 5 + -3x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x3 = 0 + -5 -3x3 = 0 + -5 Combine like terms: 0 + -5 = -5 -3x3 = -5 Divide each side by '-3'. x3 = 1.666666667 Simplifying x3 = 1.666666667 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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