7ax+2ay=a

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Solution for 7ax+2ay=a equation: 


Simplifying
7ax + 2ay = a

Solving
7ax + 2ay = a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
7ax + -1a + 2ay = a + -1a

Reorder the terms:
-1a + 7ax + 2ay = a + -1a

Combine like terms: a + -1a = 0
-1a + 7ax + 2ay = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-1 + 7x + 2y) = 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 '(-1 + 7x + 2y)' equal to zero and attempt to solve:

Simplifying
-1 + 7x + 2y = 0

Solving
-1 + 7x + 2y = 0

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

Add '1' to each side of the equation.
-1 + 7x + 1 + 2y = 0 + 1

Reorder the terms:
-1 + 1 + 7x + 2y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 7x + 2y = 0 + 1
7x + 2y = 0 + 1

Combine like terms: 0 + 1 = 1
7x + 2y = 1

Add '-7x' to each side of the equation.
7x + -7x + 2y = 1 + -7x

Combine like terms: 7x + -7x = 0
0 + 2y = 1 + -7x
2y = 1 + -7x

Add '-2y' to each side of the equation.
2y + -2y = 1 + -7x + -2y

Combine like terms: 2y + -2y = 0
0 = 1 + -7x + -2y

Simplifying
0 = 1 + -7x + -2y

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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