a^6+17a^3+60=

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Solution for a^6+17a^3+60= equation:


Simplifying
a6 + 17a3 + 60 = 0

Reorder the terms:
60 + 17a3 + a6 = 0

Solving
60 + 17a3 + a6 = 0

Solving for variable 'a'.

Factor a trinomial.
(12 + a3)(5 + a3) = 0

Subproblem 1

Set the factor '(12 + a3)' equal to zero and attempt to solve: Simplifying 12 + a3 = 0 Solving 12 + a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + a3 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + a3 = 0 + -12 a3 = 0 + -12 Combine like terms: 0 + -12 = -12 a3 = -12 Simplifying a3 = -12 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 '(5 + a3)' equal to zero and attempt to solve: Simplifying 5 + a3 = 0 Solving 5 + a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + a3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + a3 = 0 + -5 a3 = 0 + -5 Combine like terms: 0 + -5 = -5 a3 = -5 Simplifying a3 = -5 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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