3ab(2ac+3bc)=

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Solution for 3ab(2ac+3bc)= 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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