p^6-9p^3+8=0

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Solution for p^6-9p^3+8=0 equation:


Simplifying
p6 + -9p3 + 8 = 0

Reorder the terms:
8 + -9p3 + p6 = 0

Solving
8 + -9p3 + p6 = 0

Solving for variable 'p'.

Factor a trinomial.
(1 + -1p3)(8 + -1p3) = 0

Subproblem 1

Set the factor '(1 + -1p3)' equal to zero and attempt to solve: Simplifying 1 + -1p3 = 0 Solving 1 + -1p3 = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1p3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1p3 = 0 + -1 -1p3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1p3 = -1 Divide each side by '-1'. p3 = 1 Simplifying p3 = 1 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 '(8 + -1p3)' equal to zero and attempt to solve: Simplifying 8 + -1p3 = 0 Solving 8 + -1p3 = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1p3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1p3 = 0 + -8 -1p3 = 0 + -8 Combine like terms: 0 + -8 = -8 -1p3 = -8 Divide each side by '-1'. p3 = 8 Simplifying p3 = 8 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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