6a^3b-12a^2b^3=

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Solution for 6a^3b-12a^2b^3= equation: 


Simplifying
6a3b + -12a2b3 = 0

Reorder the terms:
-12a2b3 + 6a3b = 0

Solving
-12a2b3 + 6a3b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6a2b'.
6a2b(-2b2 + a) = 0

Ignore the factor 6.

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 '(-2b2 + a)' equal to zero and attempt to solve:

Simplifying
-2b2 + a = 0

Reorder the terms:
a + -2b2 = 0

Solving
a + -2b2 = 0

Move all terms containing a to the left, all other terms to the right.

Add '2b2' to each side of the equation.
a + -2b2 + 2b2 = 0 + 2b2

Combine like terms: -2b2 + 2b2 = 0
a + 0 = 0 + 2b2
a = 0 + 2b2
Remove the zero:
a = 2b2

Simplifying
a = 2b2
Solution
a = {2b2}

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