a^3b^2+3a^2b^3+a^4b^6+3a^3b^7=0

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Solution for a^3b^2+3a^2b^3+a^4b^6+3a^3b^7=0 equation: 


Simplifying
a3b2 + 3a2b3 + a4b6 + 3a3b7 = 0

Reorder the terms:
3a2b3 + a3b2 + 3a3b7 + a4b6 = 0

Solving
3a2b3 + a3b2 + 3a3b7 + a4b6 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2b2'.
a2b2(3b + a + 3ab5 + a2b4) = 0


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 + a + 3ab5 + a2b4)' equal to zero and attempt to solve:

Simplifying
3b + a + 3ab5 + a2b4 = 0

Reorder the terms:
a + 3ab5 + a2b4 + 3b = 0

Solving
a + 3ab5 + a2b4 + 3b = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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