27x^6+224x^3+64=0

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Solution for 27x^6+224x^3+64=0 equation:


Simplifying
27x6 + 224x3 + 64 = 0

Reorder the terms:
64 + 224x3 + 27x6 = 0

Solving
64 + 224x3 + 27x6 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + x3)(8 + 27x3) = 0

Subproblem 1

Set the factor '(8 + x3)' equal to zero and attempt to solve: Simplifying 8 + x3 = 0 Solving 8 + x3 = 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 + x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x3 = 0 + -8 x3 = 0 + -8 Combine like terms: 0 + -8 = -8 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.

Subproblem 2

Set the factor '(8 + 27x3)' equal to zero and attempt to solve: Simplifying 8 + 27x3 = 0 Solving 8 + 27x3 = 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 + 27x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 27x3 = 0 + -8 27x3 = 0 + -8 Combine like terms: 0 + -8 = -8 27x3 = -8 Divide each side by '27'. x3 = -0.2962962963 Simplifying x3 = -0.2962962963 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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