48a^3b^2+72a^2b^3=0

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Solution for 48a^3b^2+72a^2b^3=0 equation: 


Simplifying
48a3b2 + 72a2b3 = 0

Reorder the terms:
72a2b3 + 48a3b2 = 0

Solving
72a2b3 + 48a3b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '24a2b2'.
24a2b2(3b + 2a) = 0

Ignore the factor 24.

Subproblem 1
Set the factor 'a2b2' equal to zero and attempt to solve:

Simplifying
a2b2 = 0

Solving
a2b2 = 0

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

Simplifying
a2b2 = 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
Solution
a = {-1.5b}

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