3ax+a=5a

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Solution for 3ax+a=5a equation: 


Simplifying
3ax + a = 5a

Reorder the terms:
a + 3ax = 5a

Solving
a + 3ax = 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
a + -5a + 3ax = 5a + -5a

Combine like terms: a + -5a = -4a
-4a + 3ax = 5a + -5a

Combine like terms: 5a + -5a = 0
-4a + 3ax = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-4 + 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 '(-4 + 3x)' equal to zero and attempt to solve:

Simplifying
-4 + 3x = 0

Solving
-4 + 3x = 0

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

Add '4' to each side of the equation.
-4 + 4 + 3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 0 + 4
3x = 0 + 4

Combine like terms: 0 + 4 = 4
3x = 4

Add '-3x' to each side of the equation.
3x + -3x = 4 + -3x

Combine like terms: 3x + -3x = 0
0 = 4 + -3x

Simplifying
0 = 4 + -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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