an=4a(n-2)

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Solution for an=4a(n-2) equation: 


Simplifying
an = 4a(n + -2)

Reorder the terms:
an = 4a(-2 + n)
an = (-2 * 4a + n * 4a)
an = (-8a + 4an)

Solving
an = -8a + 4an

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
8a + an = -8a + 8a + 4an

Combine like terms: -8a + 8a = 0
8a + an = 0 + 4an
8a + an = 4an

Add '-4an' to each side of the equation.
8a + an + -4an = 4an + -4an

Combine like terms: an + -4an = -3an
8a + -3an = 4an + -4an

Combine like terms: 4an + -4an = 0
8a + -3an = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(8 + -3n) = 0


Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(8 + -3n)' equal to zero and attempt to solve:

Simplifying
8 + -3n = 0

Solving
8 + -3n = 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 + -3n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3n = 0 + -8
-3n = 0 + -8

Combine like terms: 0 + -8 = -8
-3n = -8

Add '3n' to each side of the equation.
-3n + 3n = -8 + 3n

Combine like terms: -3n + 3n = 0
0 = -8 + 3n

Simplifying
0 = -8 + 3n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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