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.
(-8 + -1a3)(1 + -1a3) = 0


Subproblem 1
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.

Subproblem 2
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.

The solution to this equation could not be determined.

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