a*(3*9+b*n)=

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Solution for a*(3*9+b*n)= equation: 


Simplifying
a(3 * 9 + b * n) = 0

Multiply 3 * 9
a(27 + b * n) = 0

Multiply b * n
a(27 + bn) = 0
(27 * a + bn * a) = 0
(27a + abn) = 0

Solving
27a + abn = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'a'.
a(27 + bn) = 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 '(27 + bn)' equal to zero and attempt to solve:

Simplifying
27 + bn = 0

Solving
27 + bn = 0

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

Add '-27' to each side of the equation.
27 + -27 + bn = 0 + -27

Combine like terms: 27 + -27 = 0
0 + bn = 0 + -27
bn = 0 + -27

Combine like terms: 0 + -27 = -27
bn = -27

Add '-1bn' to each side of the equation.
bn + -1bn = -27 + -1bn

Combine like terms: bn + -1bn = 0
0 = -27 + -1bn

Simplifying
0 = -27 + -1bn

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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