3a^4b^2-12a^3b^3=0

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Solution for 3a^4b^2-12a^3b^3=0 equation:


Simplifying
3a4b2 + -12a3b3 = 0

Reorder the terms:
-12a3b3 + 3a4b2 = 0

Solving
-12a3b3 + 3a4b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a3b2'.
3a3b2(-4b + a) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'a3b2' equal to zero and attempt to solve: Simplifying a3b2 = 0 Solving a3b2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3b2 = 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 '(-4b + a)' equal to zero and attempt to solve: Simplifying -4b + a = 0 Reorder the terms: a + -4b = 0 Solving a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 a + 0 = 0 + 4b a = 0 + 4b Remove the zero: a = 4b Simplifying a = 4b

Solution

a = {4b}

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