x^6-x^3=156

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Solution for x^6-x^3=156 equation:


Simplifying
x6 + -1x3 = 156

Reorder the terms:
-1x3 + x6 = 156

Solving
-1x3 + x6 = 156

Solving for variable 'x'.

Reorder the terms:
-156 + -1x3 + x6 = 156 + -156

Combine like terms: 156 + -156 = 0
-156 + -1x3 + x6 = 0

Factor a trinomial.
(-12 + -1x3)(13 + -1x3) = 0

Subproblem 1

Set the factor '(-12 + -1x3)' equal to zero and attempt to solve: Simplifying -12 + -1x3 = 0 Solving -12 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x3 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x3 = 0 + 12 -1x3 = 0 + 12 Combine like terms: 0 + 12 = 12 -1x3 = 12 Divide each side by '-1'. x3 = -12 Simplifying x3 = -12 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 '(13 + -1x3)' equal to zero and attempt to solve: Simplifying 13 + -1x3 = 0 Solving 13 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x3 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x3 = 0 + -13 -1x3 = 0 + -13 Combine like terms: 0 + -13 = -13 -1x3 = -13 Divide each side by '-1'. x3 = 13 Simplifying x3 = 13 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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