a^6-a^3-12=

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Solution for a^6-a^3-12= equation:


Simplifying
a6 + -1a3 + -12 = 0

Reorder the terms:
-12 + -1a3 + a6 = 0

Solving
-12 + -1a3 + a6 = 0

Solving for variable 'a'.

Factor a trinomial.
(-3 + -1a3)(4 + -1a3) = 0

Subproblem 1

Set the factor '(-3 + -1a3)' equal to zero and attempt to solve: Simplifying -3 + -1a3 = 0 Solving -3 + -1a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1a3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1a3 = 0 + 3 -1a3 = 0 + 3 Combine like terms: 0 + 3 = 3 -1a3 = 3 Divide each side by '-1'. a3 = -3 Simplifying a3 = -3 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 '(4 + -1a3)' equal to zero and attempt to solve: Simplifying 4 + -1a3 = 0 Solving 4 + -1a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1a3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a3 = 0 + -4 -1a3 = 0 + -4 Combine like terms: 0 + -4 = -4 -1a3 = -4 Divide each side by '-1'. a3 = 4 Simplifying a3 = 4 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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