12a^2b+18a=0

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Solution for 12a^2b+18a=0 equation:


Simplifying
12a2b + 18a = 0

Reorder the terms:
18a + 12a2b = 0

Solving
18a + 12a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6a'.
6a(3 + 2ab) = 0

Ignore the factor 6.

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 '(3 + 2ab)' equal to zero and attempt to solve: Simplifying 3 + 2ab = 0 Solving 3 + 2ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2ab = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2ab = 0 + -3 2ab = 0 + -3 Combine like terms: 0 + -3 = -3 2ab = -3 Divide each side by '2b'. a = -1.5b-1 Simplifying a = -1.5b-1

Solution

a = {0, -1.5b-1}

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