5x^6-6x^3-32=0

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Solution for 5x^6-6x^3-32=0 equation:


Simplifying
5x6 + -6x3 + -32 = 0

Reorder the terms:
-32 + -6x3 + 5x6 = 0

Solving
-32 + -6x3 + 5x6 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x3)(16 + -5x3) = 0

Subproblem 1

Set the factor '(-2 + -1x3)' equal to zero and attempt to solve: Simplifying -2 + -1x3 = 0 Solving -2 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x3 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x3 = 0 + 2 -1x3 = 0 + 2 Combine like terms: 0 + 2 = 2 -1x3 = 2 Divide each side by '-1'. x3 = -2 Simplifying x3 = -2 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 '(16 + -5x3)' equal to zero and attempt to solve: Simplifying 16 + -5x3 = 0 Solving 16 + -5x3 = 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 + -5x3 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -5x3 = 0 + -16 -5x3 = 0 + -16 Combine like terms: 0 + -16 = -16 -5x3 = -16 Divide each side by '-5'. x3 = 3.2 Simplifying x3 = 3.2 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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