(x^6a^5+7)(x^6a^5-7)=

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Solution for (x^6a^5+7)(x^6a^5-7)= equation: 


Simplifying
(x6a5 + 7)(x6a5 + -7) = 0

Reorder the terms:
(7 + a5x6)(x6a5 + -7) = 0

Reorder the terms:
(7 + a5x6)(-7 + a5x6) = 0

Multiply (7 + a5x6) * (-7 + a5x6)
(7(-7 + a5x6) + a5x6(-7 + a5x6)) = 0
((-7 * 7 + a5x6 * 7) + a5x6(-7 + a5x6)) = 0
((-49 + 7a5x6) + a5x6(-7 + a5x6)) = 0
(-49 + 7a5x6 + (-7 * a5x6 + a5x6 * a5x6)) = 0
(-49 + 7a5x6 + (-7a5x6 + a10x12)) = 0

Combine like terms: 7a5x6 + -7a5x6 = 0
(-49 + 0 + a10x12) = 0
(-49 + a10x12) = 0

Solving
-49 + a10x12 = 0

Solving for variable 'a'.

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

Add '49' to each side of the equation.
-49 + 49 + a10x12 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + a10x12 = 0 + 49
a10x12 = 0 + 49

Combine like terms: 0 + 49 = 49
a10x12 = 49

Divide each side by 'x12'.
a10 = 49x-12

Simplifying
a10 = 49x-12

Combine like terms: 49x-12 + -49x-12 = 0
a10 + -49x-12 = 0

Factor out the Greatest Common Factor (GCF), 'x-12'.
x-12(a10x12 + -49) = 0

Factor a difference between two squares.
x-12((a5x6 + 7)(a5x6 + -7)) = 0


Subproblem 1
Set the factor 'x-12' equal to zero and attempt to solve:

Simplifying
x-12 = 0

Solving
x-12 = 0

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

Add '-1x-12' to each side of the equation.
x-12 + -1x-12 = 0 + -1x-12
Remove the zero:
0 = -1x-12

Simplifying
0 = -1x-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 '(a5x6 + 7)' equal to zero and attempt to solve:

Simplifying
a5x6 + 7 = 0

Reorder the terms:
7 + a5x6 = 0

Solving
7 + a5x6 = 0

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

Add '-7' to each side of the equation.
7 + -7 + a5x6 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + a5x6 = 0 + -7
a5x6 = 0 + -7

Combine like terms: 0 + -7 = -7
a5x6 = -7

Divide each side by 'x6'.
a5 = -7x-6

Simplifying
a5 = -7x-6

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(a5x6 + -7)' equal to zero and attempt to solve:

Simplifying
a5x6 + -7 = 0

Reorder the terms:
-7 + a5x6 = 0

Solving
-7 + a5x6 = 0

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

Add '7' to each side of the equation.
-7 + 7 + a5x6 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + a5x6 = 0 + 7
a5x6 = 0 + 7

Combine like terms: 0 + 7 = 7
a5x6 = 7

Divide each side by 'x6'.
a5 = 7x-6

Simplifying
a5 = 7x-6

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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