3ab(2ac+3bc)=0

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Solution for 3ab(2ac+3bc)=0 equation: 


Simplifying
3ab(2ac + 3bc) = 0
(2ac * 3ab + 3bc * 3ab) = 0

Reorder the terms:
(9ab2c + 6a2bc) = 0
(9ab2c + 6a2bc) = 0

Solving
9ab2c + 6a2bc = 0

Solving for variable 'a'.

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

Ignore the factor 3.

Subproblem 1
Set the factor 'abc' equal to zero and attempt to solve:

Simplifying
abc = 0

Solving
abc = 0

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

Simplifying
abc = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(3b + 2a)' equal to zero and attempt to solve:

Simplifying
3b + 2a = 0

Reorder the terms:
2a + 3b = 0

Solving
2a + 3b = 0

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

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

Combine like terms: 3b + -3b = 0
2a + 0 = 0 + -3b
2a = 0 + -3b
Remove the zero:
2a = -3b

Divide each side by '2'.
a = -1.5b

Simplifying
a = -1.5b
Solution
a = {-1.5b}

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