x^6-25x^3-54=0

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Solution for x^6-25x^3-54=0 equation:


Simplifying
x6 + -25x3 + -54 = 0

Reorder the terms:
-54 + -25x3 + x6 = 0

Solving
-54 + -25x3 + x6 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x3)(27 + -1x3) = 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 '(27 + -1x3)' equal to zero and attempt to solve: Simplifying 27 + -1x3 = 0 Solving 27 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1x3 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1x3 = 0 + -27 -1x3 = 0 + -27 Combine like terms: 0 + -27 = -27 -1x3 = -27 Divide each side by '-1'. x3 = 27 Simplifying x3 = 27 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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