12a-6ab+3ac=

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Solution for 12a-6ab+3ac= equation: 


Simplifying
12a + -6ab + 3ac = 0

Solving
12a + -6ab + 3ac = 0

Solving for variable 'a'.

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

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

Ignore the factor 3.

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

Simplifying
4 + -2b + c = 0

Solving
4 + -2b + c = 0

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

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

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

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

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

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

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

Add '-1c' to each side of the equation.
c + -1c = -4 + 2b + -1c

Combine like terms: c + -1c = 0
0 = -4 + 2b + -1c

Simplifying
0 = -4 + 2b + -1c

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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