(3x)a=(c)a

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Solution for (3x)a=(c)a equation: 


Simplifying
(3x) * a = (c) * a

Remove parenthesis around (3x)
3x * a = (c) * a

Multiply x * a
3ax = (c) * a

Multiply c * a
3ax = ac

Solving
3ax = ac

Solving for variable 'a'.

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

Add '-1ac' to each side of the equation.
-1ac + 3ax = ac + -1ac

Combine like terms: ac + -1ac = 0
-1ac + 3ax = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-1c + 3x) = 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 '(-1c + 3x)' equal to zero and attempt to solve:

Simplifying
-1c + 3x = 0

Solving
-1c + 3x = 0

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

Add 'c' to each side of the equation.
-1c + c + 3x = 0 + c

Combine like terms: -1c + c = 0
0 + 3x = 0 + c
3x = 0 + c
Remove the zero:
3x = c

Add '-3x' to each side of the equation.
3x + -3x = c + -3x

Combine like terms: 3x + -3x = 0
0 = c + -3x

Simplifying
0 = c + -3x

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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