18a^3b-32ab^3=

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Solution for 18a^3b-32ab^3= equation: 


Simplifying
18a3b + -32ab3 = 0

Reorder the terms:
-32ab3 + 18a3b = 0

Solving
-32ab3 + 18a3b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2ab'.
2ab(-16b2 + 9a2) = 0

Factor a difference between two squares.
2ab((4b + 3a)(-4b + 3a)) = 0

Ignore the factor 2.

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 '(4b + 3a)' equal to zero and attempt to solve:

Simplifying
4b + 3a = 0

Reorder the terms:
3a + 4b = 0

Solving
3a + 4b = 0

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

Add '-4b' to each side of the equation.
3a + 4b + -4b = 0 + -4b

Combine like terms: 4b + -4b = 0
3a + 0 = 0 + -4b
3a = 0 + -4b
Remove the zero:
3a = -4b

Divide each side by '3'.
a = -1.333333333b

Simplifying
a = -1.333333333b

Subproblem 3
Set the factor '(-4b + 3a)' equal to zero and attempt to solve:

Simplifying
-4b + 3a = 0

Reorder the terms:
3a + -4b = 0

Solving
3a + -4b = 0

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

Add '4b' to each side of the equation.
3a + -4b + 4b = 0 + 4b

Combine like terms: -4b + 4b = 0
3a + 0 = 0 + 4b
3a = 0 + 4b
Remove the zero:
3a = 4b

Divide each side by '3'.
a = 1.333333333b

Simplifying
a = 1.333333333b
Solution
a = {-1.333333333b, 1.333333333b}

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