3a(b-c)+(3b-2)a=

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Solution for 3a(b-c)+(3b-2)a= equation: 


Simplifying
3a(b + -1c) + (3b + -2) * a = 0
(b * 3a + -1c * 3a) + (3b + -2) * a = 0
(3ab + -3ac) + (3b + -2) * a = 0

Reorder the terms:
3ab + -3ac + (-2 + 3b) * a = 0

Reorder the terms for easier multiplication:
3ab + -3ac + a(-2 + 3b) = 0
3ab + -3ac + (-2 * a + 3b * a) = 0
3ab + -3ac + (-2a + 3ab) = 0

Reorder the terms:
-2a + 3ab + 3ab + -3ac = 0

Combine like terms: 3ab + 3ab = 6ab
-2a + 6ab + -3ac = 0

Solving
-2a + 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), 'a'.
a(-2 + 6b + -3c) = 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 '(-2 + 6b + -3c)' equal to zero and attempt to solve:

Simplifying
-2 + 6b + -3c = 0

Solving
-2 + 6b + -3c = 0

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

Add '2' to each side of the equation.
-2 + 6b + 2 + -3c = 0 + 2

Reorder the terms:
-2 + 2 + 6b + -3c = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 6b + -3c = 0 + 2
6b + -3c = 0 + 2

Combine like terms: 0 + 2 = 2
6b + -3c = 2

Add '-6b' to each side of the equation.
6b + -6b + -3c = 2 + -6b

Combine like terms: 6b + -6b = 0
0 + -3c = 2 + -6b
-3c = 2 + -6b

Add '3c' to each side of the equation.
-3c + 3c = 2 + -6b + 3c

Combine like terms: -3c + 3c = 0
0 = 2 + -6b + 3c

Simplifying
0 = 2 + -6b + 3c

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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