5ax+2a=9a

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Solution for 5ax+2a=9a equation: 


Simplifying
5ax + 2a = 9a

Reorder the terms:
2a + 5ax = 9a

Solving
2a + 5ax = 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
2a + -9a + 5ax = 9a + -9a

Combine like terms: 2a + -9a = -7a
-7a + 5ax = 9a + -9a

Combine like terms: 9a + -9a = 0
-7a + 5ax = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-7 + 5x) = 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 '(-7 + 5x)' equal to zero and attempt to solve:

Simplifying
-7 + 5x = 0

Solving
-7 + 5x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 5x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = 0 + 7
5x = 0 + 7

Combine like terms: 0 + 7 = 7
5x = 7

Add '-5x' to each side of the equation.
5x + -5x = 7 + -5x

Combine like terms: 5x + -5x = 0
0 = 7 + -5x

Simplifying
0 = 7 + -5x

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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