6a^3+18ab=0

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Solution for 6a^3+18ab=0 equation:


Simplifying
6a3 + 18ab = 0

Reorder the terms:
18ab + 6a3 = 0

Solving
18ab + 6a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6a'.
6a(3b + a2) = 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 '(3b + a2)' equal to zero and attempt to solve: Simplifying 3b + a2 = 0 Reorder the terms: a2 + 3b = 0 Solving a2 + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. a2 + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 a2 + 0 = 0 + -3b a2 = 0 + -3b Remove the zero: a2 = -3b Simplifying a2 = -3b 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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