x^6+63x^3-64=0

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Solution for x^6+63x^3-64=0 equation:


Simplifying
x6 + 63x3 + -64 = 0

Reorder the terms:
-64 + 63x3 + x6 = 0

Solving
-64 + 63x3 + x6 = 0

Solving for variable 'x'.

Factor a trinomial.
(-64 + -1x3)(1 + -1x3) = 0

Subproblem 1

Set the factor '(-64 + -1x3)' equal to zero and attempt to solve: Simplifying -64 + -1x3 = 0 Solving -64 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + -1x3 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + -1x3 = 0 + 64 -1x3 = 0 + 64 Combine like terms: 0 + 64 = 64 -1x3 = 64 Divide each side by '-1'. x3 = -64 Simplifying x3 = -64 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 + -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. The solution to this equation could not be determined.

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