3ab^2+9a-2ab^3-6ab=0

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Solution for 3ab^2+9a-2ab^3-6ab=0 equation: 


Simplifying
3ab2 + 9a + -2ab3 + -6ab = 0

Reorder the terms:
9a + -6ab + 3ab2 + -2ab3 = 0

Solving
9a + -6ab + 3ab2 + -2ab3 = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'a'.
a(9 + -6b + 3b2 + -2b3) = 0


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 '(9 + -6b + 3b2 + -2b3)' equal to zero and attempt to solve:

Simplifying
9 + -6b + 3b2 + -2b3 = 0

Solving
9 + -6b + 3b2 + -2b3 = 0

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

Add '-9' to each side of the equation.
9 + -6b + 3b2 + -9 + -2b3 = 0 + -9

Reorder the terms:
9 + -9 + -6b + 3b2 + -2b3 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -6b + 3b2 + -2b3 = 0 + -9
-6b + 3b2 + -2b3 = 0 + -9

Combine like terms: 0 + -9 = -9
-6b + 3b2 + -2b3 = -9

Add '6b' to each side of the equation.
-6b + 3b2 + 6b + -2b3 = -9 + 6b

Reorder the terms:
-6b + 6b + 3b2 + -2b3 = -9 + 6b

Combine like terms: -6b + 6b = 0
0 + 3b2 + -2b3 = -9 + 6b
3b2 + -2b3 = -9 + 6b

Add '-3b2' to each side of the equation.
3b2 + -3b2 + -2b3 = -9 + 6b + -3b2

Combine like terms: 3b2 + -3b2 = 0
0 + -2b3 = -9 + 6b + -3b2
-2b3 = -9 + 6b + -3b2

Add '2b3' to each side of the equation.
-2b3 + 2b3 = -9 + 6b + -3b2 + 2b3

Combine like terms: -2b3 + 2b3 = 0
0 = -9 + 6b + -3b2 + 2b3

Simplifying
0 = -9 + 6b + -3b2 + 2b3

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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