3a^2b(a-3b)=0

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Solution for 3a^2b(a-3b)=0 equation:


Simplifying
3a2b(a + -3b) = 0
(a * 3a2b + -3b * 3a2b) = 0

Reorder the terms:
(-9a2b2 + 3a3b) = 0
(-9a2b2 + 3a3b) = 0

Solving
-9a2b2 + 3a3b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a2b'.
3a2b(-3b + a) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'a2b' equal to zero and attempt to solve: Simplifying a2b = 0 Solving a2b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b = 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 + a)' equal to zero and attempt to solve: Simplifying -3b + a = 0 Reorder the terms: a + -3b = 0 Solving a + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 a + 0 = 0 + 3b a = 0 + 3b Remove the zero: a = 3b Simplifying a = 3b

Solution

a = {3b}

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