a^6-7a^3=8

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Solution for a^6-7a^3=8 equation:


Simplifying
a6 + -7a3 = 8

Reorder the terms:
-7a3 + a6 = 8

Solving
-7a3 + a6 = 8

Solving for variable 'a'.

Reorder the terms:
-8 + -7a3 + a6 = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + -7a3 + a6 = 0

Factor a trinomial.
(-1 + -1a3)(8 + -1a3) = 0

Subproblem 1

Set the factor '(-1 + -1a3)' equal to zero and attempt to solve: Simplifying -1 + -1a3 = 0 Solving -1 + -1a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1a3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1a3 = 0 + 1 -1a3 = 0 + 1 Combine like terms: 0 + 1 = 1 -1a3 = 1 Divide each side by '-1'. a3 = -1 Simplifying a3 = -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 + -1a3)' equal to zero and attempt to solve: Simplifying 8 + -1a3 = 0 Solving 8 + -1a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1a3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1a3 = 0 + -8 -1a3 = 0 + -8 Combine like terms: 0 + -8 = -8 -1a3 = -8 Divide each side by '-1'. a3 = 8 Simplifying a3 = 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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