3ax+5a=7a

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Solution for 3ax+5a=7a equation: 


Simplifying
3ax + 5a = 7a

Reorder the terms:
5a + 3ax = 7a

Solving
5a + 3ax = 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
5a + -7a + 3ax = 7a + -7a

Combine like terms: 5a + -7a = -2a
-2a + 3ax = 7a + -7a

Combine like terms: 7a + -7a = 0
-2a + 3ax = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-2 + 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 '(-2 + 3x)' equal to zero and attempt to solve:

Simplifying
-2 + 3x = 0

Solving
-2 + 3x = 0

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

Add '2' to each side of the equation.
-2 + 2 + 3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 0 + 2
3x = 0 + 2

Combine like terms: 0 + 2 = 2
3x = 2

Add '-3x' to each side of the equation.
3x + -3x = 2 + -3x

Combine like terms: 3x + -3x = 0
0 = 2 + -3x

Simplifying
0 = 2 + -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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