(3a^2*b^3)-(12a^4*b^3)+(6a^4*b^2)=

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Solution for (3a^2*b^3)-(12a^4*b^3)+(6a^4*b^2)= equation: 


Simplifying
(3a2 * b3) + -1(12a4 * b3) + (6a4 * b2) = 0

Multiply a2 * b3
(3a2b3) + -1(12a4 * b3) + (6a4 * b2) = 0

Multiply a4 * b3
(3a2b3) + -1(12a4b3) + (6a4 * b2) = 0

Remove parenthesis around (12a4b3)
(3a2b3) + -1 * 12a4b3 + (6a4 * b2) = 0

Multiply -1 * 12
(3a2b3) + -12a4b3 + (6a4 * b2) = 0

Multiply a4 * b2
(3a2b3) + -12a4b3 + (6a4b2) = 0

Reorder the terms:
(3a2b3) + (6a4b2) + -12a4b3 = 0

Solving
(3a2b3) + (6a4b2) + -12a4b3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a2b2'.
3a2b2(b + (2a2) + -4a2b) = 0

Ignore the factor 3.

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 '(b + (2a2) + -4a2b)' equal to zero and attempt to solve:

Simplifying
b + (2a2) + -4a2b = 0

Reorder the terms:
(2a2) + -4a2b + b = 0

Solving
(2a2) + -4a2b + b = 0

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

Add '-1b' to each side of the equation.
(2a2) + -4a2b + b + -1b = 0 + -1b

Combine like terms: b + -1b = 0
(2a2) + -4a2b + 0 = 0 + -1b
(2a2) + -4a2b = 0 + -1b
Remove the zero:
(2a2) + -4a2b = -1b

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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