2ay+4a=16ay

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Solution for 2ay+4a=16ay equation: 


Simplifying
2ay + 4a = 16ay

Reorder the terms:
4a + 2ay = 16ay

Solving
4a + 2ay = 16ay

Solving for variable 'a'.

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

Add '-16ay' to each side of the equation.
4a + 2ay + -16ay = 16ay + -16ay

Combine like terms: 2ay + -16ay = -14ay
4a + -14ay = 16ay + -16ay

Combine like terms: 16ay + -16ay = 0
4a + -14ay = 0

Factor out the Greatest Common Factor (GCF), '2a'.
2a(2 + -7y) = 0

Ignore the factor 2.

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 + -7y)' equal to zero and attempt to solve:

Simplifying
2 + -7y = 0

Solving
2 + -7y = 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 + -7y = 0 + -2

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

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

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

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

Simplifying
0 = -2 + 7y

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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