4ab-3a(b-4)-2ab+3a=0

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Solution for 4ab-3a(b-4)-2ab+3a=0 equation: 


Simplifying
4ab + -3a(b + -4) + -2ab + 3a = 0

Reorder the terms:
4ab + -3a(-4 + b) + -2ab + 3a = 0
4ab + (-4 * -3a + b * -3a) + -2ab + 3a = 0
4ab + (12a + -3ab) + -2ab + 3a = 0

Reorder the terms:
12a + 3a + 4ab + -3ab + -2ab = 0

Combine like terms: 12a + 3a = 15a
15a + 4ab + -3ab + -2ab = 0

Combine like terms: 4ab + -3ab = 1ab
15a + 1ab + -2ab = 0

Combine like terms: 1ab + -2ab = -1ab
15a + -1ab = 0

Solving
15a + -1ab = 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(15 + -1b) = 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 '(15 + -1b)' equal to zero and attempt to solve:

Simplifying
15 + -1b = 0

Solving
15 + -1b = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1b = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1b = 0 + -15
-1b = 0 + -15

Combine like terms: 0 + -15 = -15
-1b = -15

Add 'b' to each side of the equation.
-1b + b = -15 + b

Combine like terms: -1b + b = 0
0 = -15 + b

Simplifying
0 = -15 + b

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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