a^6+5a^3+6=

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Solution for a^6+5a^3+6= equation: 


Simplifying
a6 + 5a3 + 6 = 0

Reorder the terms:
6 + 5a3 + a6 = 0

Solving
6 + 5a3 + a6 = 0

Solving for variable 'a'.

Factor a trinomial.
(3 + a3)(2 + a3) = 0


Subproblem 1
Set the factor '(3 + a3)' equal to zero and attempt to solve:

Simplifying
3 + a3 = 0

Solving
3 + a3 = 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 + a3 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + a3 = 0 + -3
a3 = 0 + -3

Combine like terms: 0 + -3 = -3
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 '(2 + a3)' equal to zero and attempt to solve:

Simplifying
2 + a3 = 0

Solving
2 + a3 = 0

Move all terms containing a to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + a3 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + a3 = 0 + -2
a3 = 0 + -2

Combine like terms: 0 + -2 = -2
a3 = -2

Simplifying
a3 = -2

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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