x^6-152x^3+3375=0

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Solution for x^6-152x^3+3375=0 equation:


Simplifying
x6 + -152x3 + 3375 = 0

Reorder the terms:
3375 + -152x3 + x6 = 0

Solving
3375 + -152x3 + x6 = 0

Solving for variable 'x'.

Factor a trinomial.
(27 + -1x3)(125 + -1x3) = 0

Subproblem 1

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.

Subproblem 2

Set the factor '(125 + -1x3)' equal to zero and attempt to solve: Simplifying 125 + -1x3 = 0 Solving 125 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + -1x3 = 0 + -125 Combine like terms: 125 + -125 = 0 0 + -1x3 = 0 + -125 -1x3 = 0 + -125 Combine like terms: 0 + -125 = -125 -1x3 = -125 Divide each side by '-1'. x3 = 125 Simplifying x3 = 125 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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