a^6+6=10

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Solution for a^6+6=10 equation: 


Simplifying
a6 + 6 = 10

Reorder the terms:
6 + a6 = 10

Solving
6 + a6 = 10

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6 + a6 = 10 + -6

Combine like terms: 6 + -6 = 0
0 + a6 = 10 + -6
a6 = 10 + -6

Combine like terms: 10 + -6 = 4
a6 = 4

Simplifying
a6 = 4

Reorder the terms:
-4 + a6 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + a6 = 0

Factor a difference between two squares.
(2 + a3)(-2 + a3) = 0


Subproblem 1
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.

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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