x^6-x^3=132

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Solution for x^6-x^3=132 equation:


Simplifying
x6 + -1x3 = 132

Reorder the terms:
-1x3 + x6 = 132

Solving
-1x3 + x6 = 132

Solving for variable 'x'.

Reorder the terms:
-132 + -1x3 + x6 = 132 + -132

Combine like terms: 132 + -132 = 0
-132 + -1x3 + x6 = 0

Factor a trinomial.
(-11 + -1x3)(12 + -1x3) = 0

Subproblem 1

Set the factor '(-11 + -1x3)' equal to zero and attempt to solve: Simplifying -11 + -1x3 = 0 Solving -11 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x3 = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x3 = 0 + 11 -1x3 = 0 + 11 Combine like terms: 0 + 11 = 11 -1x3 = 11 Divide each side by '-1'. x3 = -11 Simplifying x3 = -11 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 '(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. The solution to this equation could not be determined.

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