5ax+4a=7ax-5a

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Solution for 5ax+4a=7ax-5a equation: 


Simplifying
5ax + 4a = 7ax + -5a

Reorder the terms:
4a + 5ax = 7ax + -5a

Reorder the terms:
4a + 5ax = -5a + 7ax

Solving
4a + 5ax = -5a + 7ax

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.
4a + 5a + 5ax = -5a + 5a + 7ax

Combine like terms: 4a + 5a = 9a
9a + 5ax = -5a + 5a + 7ax

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

Add '-7ax' to each side of the equation.
9a + 5ax + -7ax = 7ax + -7ax

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

Combine like terms: 7ax + -7ax = 0
9a + -2ax = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(9 + -2x) = 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 '(9 + -2x)' equal to zero and attempt to solve:

Simplifying
9 + -2x = 0

Solving
9 + -2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Add '2x' to each side of the equation.
-2x + 2x = -9 + 2x

Combine like terms: -2x + 2x = 0
0 = -9 + 2x

Simplifying
0 = -9 + 2x

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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