9ab^3-4a^3b=0

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Solution for 9ab^3-4a^3b=0 equation: 


Simplifying
9ab3 + -4a3b = 0

Solving
9ab3 + -4a3b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'ab'.
ab(9b2 + -4a2) = 0

Factor a difference between two squares.
ab((3b + 2a)(3b + -2a)) = 0


Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve:

Simplifying
ab = 0

Solving
ab = 0

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

Simplifying
ab = 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 + 2a)' equal to zero and attempt to solve:

Simplifying
3b + 2a = 0

Reorder the terms:
2a + 3b = 0

Solving
2a + 3b = 0

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

Add '-3b' to each side of the equation.
2a + 3b + -3b = 0 + -3b

Combine like terms: 3b + -3b = 0
2a + 0 = 0 + -3b
2a = 0 + -3b
Remove the zero:
2a = -3b

Divide each side by '2'.
a = -1.5b

Simplifying
a = -1.5b

Subproblem 3
Set the factor '(3b + -2a)' equal to zero and attempt to solve:

Simplifying
3b + -2a = 0

Reorder the terms:
-2a + 3b = 0

Solving
-2a + 3b = 0

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

Add '-3b' to each side of the equation.
-2a + 3b + -3b = 0 + -3b

Combine like terms: 3b + -3b = 0
-2a + 0 = 0 + -3b
-2a = 0 + -3b
Remove the zero:
-2a = -3b

Divide each side by '-2'.
a = 1.5b

Simplifying
a = 1.5b
Solution
a = {-1.5b, 1.5b}

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