2a*2b*3+2a*3b*2-6a*3b*3+2a*2=

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Solution for 2a*2b*3+2a*3b*2-6a*3b*3+2a*2= equation: 


Simplifying
2a * 2b * 3 + 2a * 3b * 2 + -6a * 3b * 3 + 2a * 2 = 0

Reorder the terms for easier multiplication:
2 * 2 * 3a * b + 2a * 3b * 2 + -6a * 3b * 3 + 2a * 2 = 0

Multiply 2 * 2
4 * 3a * b + 2a * 3b * 2 + -6a * 3b * 3 + 2a * 2 = 0

Multiply 4 * 3
12a * b + 2a * 3b * 2 + -6a * 3b * 3 + 2a * 2 = 0

Multiply a * b
12ab + 2a * 3b * 2 + -6a * 3b * 3 + 2a * 2 = 0

Reorder the terms for easier multiplication:
12ab + 2 * 3 * 2a * b + -6a * 3b * 3 + 2a * 2 = 0

Multiply 2 * 3
12ab + 6 * 2a * b + -6a * 3b * 3 + 2a * 2 = 0

Multiply 6 * 2
12ab + 12a * b + -6a * 3b * 3 + 2a * 2 = 0

Multiply a * b
12ab + 12ab + -6a * 3b * 3 + 2a * 2 = 0

Reorder the terms for easier multiplication:
12ab + 12ab + -6 * 3 * 3a * b + 2a * 2 = 0

Multiply -6 * 3
12ab + 12ab + -18 * 3a * b + 2a * 2 = 0

Multiply -18 * 3
12ab + 12ab + -54a * b + 2a * 2 = 0

Multiply a * b
12ab + 12ab + -54ab + 2a * 2 = 0

Reorder the terms for easier multiplication:
12ab + 12ab + -54ab + 2 * 2a = 0

Multiply 2 * 2
12ab + 12ab + -54ab + 4a = 0

Reorder the terms:
4a + 12ab + 12ab + -54ab = 0

Combine like terms: 12ab + 12ab = 24ab
4a + 24ab + -54ab = 0

Combine like terms: 24ab + -54ab = -30ab
4a + -30ab = 0

Solving
4a + -30ab = 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), '2a'.
2a(2 + -15b) = 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 + -15b)' equal to zero and attempt to solve:

Simplifying
2 + -15b = 0

Solving
2 + -15b = 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 + -15b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -15b = 0 + -2
-15b = 0 + -2

Combine like terms: 0 + -2 = -2
-15b = -2

Add '15b' to each side of the equation.
-15b + 15b = -2 + 15b

Combine like terms: -15b + 15b = 0
0 = -2 + 15b

Simplifying
0 = -2 + 15b

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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