x^6-x^3=90

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Solution for x^6-x^3=90 equation:


Simplifying
x6 + -1x3 = 90

Reorder the terms:
-1x3 + x6 = 90

Solving
-1x3 + x6 = 90

Solving for variable 'x'.

Reorder the terms:
-90 + -1x3 + x6 = 90 + -90

Combine like terms: 90 + -90 = 0
-90 + -1x3 + x6 = 0

Factor a trinomial.
(-9 + -1x3)(10 + -1x3) = 0

Subproblem 1

Set the factor '(-9 + -1x3)' equal to zero and attempt to solve: Simplifying -9 + -1x3 = 0 Solving -9 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x3 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x3 = 0 + 9 -1x3 = 0 + 9 Combine like terms: 0 + 9 = 9 -1x3 = 9 Divide each side by '-1'. x3 = -9 Simplifying x3 = -9 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 '(10 + -1x3)' equal to zero and attempt to solve: Simplifying 10 + -1x3 = 0 Solving 10 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x3 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x3 = 0 + -10 -1x3 = 0 + -10 Combine like terms: 0 + -10 = -10 -1x3 = -10 Divide each side by '-1'. x3 = 10 Simplifying x3 = 10 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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