4a-4ba+12a=3ab-8a

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Solution for 4a-4ba+12a=3ab-8a equation: 


Simplifying
4a + -4ba + 12a = 3ab + -8a

Reorder the terms:
4a + 12a + -4ab = 3ab + -8a

Combine like terms: 4a + 12a = 16a
16a + -4ab = 3ab + -8a

Reorder the terms:
16a + -4ab = -8a + 3ab

Solving
16a + -4ab = -8a + 3ab

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
16a + 8a + -4ab = -8a + 8a + 3ab

Combine like terms: 16a + 8a = 24a
24a + -4ab = -8a + 8a + 3ab

Combine like terms: -8a + 8a = 0
24a + -4ab = 0 + 3ab
24a + -4ab = 3ab

Add '-3ab' to each side of the equation.
24a + -4ab + -3ab = 3ab + -3ab

Combine like terms: -4ab + -3ab = -7ab
24a + -7ab = 3ab + -3ab

Combine like terms: 3ab + -3ab = 0
24a + -7ab = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(24 + -7b) = 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 '(24 + -7b)' equal to zero and attempt to solve:

Simplifying
24 + -7b = 0

Solving
24 + -7b = 0

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

Add '-24' to each side of the equation.
24 + -24 + -7b = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -7b = 0 + -24
-7b = 0 + -24

Combine like terms: 0 + -24 = -24
-7b = -24

Add '7b' to each side of the equation.
-7b + 7b = -24 + 7b

Combine like terms: -7b + 7b = 0
0 = -24 + 7b

Simplifying
0 = -24 + 7b

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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