3a^2*b^4+9a^2*b-6a^5*b=0

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Solution for 3a^2*b^4+9a^2*b-6a^5*b=0 equation: 


Simplifying
3a2 * b4 + 9a2 * b + -6a5 * b = 0

Multiply a2 * b4
3a2b4 + 9a2 * b + -6a5 * b = 0

Multiply a2 * b
3a2b4 + 9a2b + -6a5 * b = 0

Multiply a5 * b
3a2b4 + 9a2b + -6a5b = 0

Reorder the terms:
9a2b + 3a2b4 + -6a5b = 0

Solving
9a2b + 3a2b4 + -6a5b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a2b'.
3a2b(3 + b3 + -2a3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'a2b' equal to zero and attempt to solve:

Simplifying
a2b = 0

Solving
a2b = 0

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

Simplifying
a2b = 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 '(3 + b3 + -2a3)' equal to zero and attempt to solve:

Simplifying
3 + b3 + -2a3 = 0

Reorder the terms:
3 + -2a3 + b3 = 0

Solving
3 + -2a3 + b3 = 0

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

Add '-3' to each side of the equation.
3 + -2a3 + -3 + b3 = 0 + -3

Reorder the terms:
3 + -3 + -2a3 + b3 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2a3 + b3 = 0 + -3
-2a3 + b3 = 0 + -3

Combine like terms: 0 + -3 = -3
-2a3 + b3 = -3

Add '-1b3' to each side of the equation.
-2a3 + b3 + -1b3 = -3 + -1b3

Combine like terms: b3 + -1b3 = 0
-2a3 + 0 = -3 + -1b3
-2a3 = -3 + -1b3

Divide each side by '-2'.
a3 = 1.5 + 0.5b3

Simplifying
a3 = 1.5 + 0.5b3

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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