8ab-16ac=12a

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Solution for 8ab-16ac=12a equation: 


Simplifying
8ab + -16ac = 12a

Solving
8ab + -16ac = 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
8ab + -12a + -16ac = 12a + -12a

Reorder the terms:
-12a + 8ab + -16ac = 12a + -12a

Combine like terms: 12a + -12a = 0
-12a + 8ab + -16ac = 0

Factor out the Greatest Common Factor (GCF), '4a'.
4a(-3 + 2b + -4c) = 0

Ignore the factor 4.

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 '(-3 + 2b + -4c)' equal to zero and attempt to solve:

Simplifying
-3 + 2b + -4c = 0

Solving
-3 + 2b + -4c = 0

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

Add '3' to each side of the equation.
-3 + 2b + 3 + -4c = 0 + 3

Reorder the terms:
-3 + 3 + 2b + -4c = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2b + -4c = 0 + 3
2b + -4c = 0 + 3

Combine like terms: 0 + 3 = 3
2b + -4c = 3

Add '-2b' to each side of the equation.
2b + -2b + -4c = 3 + -2b

Combine like terms: 2b + -2b = 0
0 + -4c = 3 + -2b
-4c = 3 + -2b

Add '4c' to each side of the equation.
-4c + 4c = 3 + -2b + 4c

Combine like terms: -4c + 4c = 0
0 = 3 + -2b + 4c

Simplifying
0 = 3 + -2b + 4c

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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