3a^3b^2c+12a^4bc^3=

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Solution for 3a^3b^2c+12a^4bc^3= equation: 


Simplifying
3a3b2c + 12a4bc3 = 0

Solving
3a3b2c + 12a4bc3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a3bc'.
3a3bc(b + 4ac2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'a3bc' equal to zero and attempt to solve:

Simplifying
a3bc = 0

Solving
a3bc = 0

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

Simplifying
a3bc = 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 + 4ac2)' equal to zero and attempt to solve:

Simplifying
b + 4ac2 = 0

Reorder the terms:
4ac2 + b = 0

Solving
4ac2 + b = 0

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

Add '-1b' to each side of the equation.
4ac2 + b + -1b = 0 + -1b

Combine like terms: b + -1b = 0
4ac2 + 0 = 0 + -1b
4ac2 = 0 + -1b
Remove the zero:
4ac2 = -1b

Divide each side by '4c2'.
a = -0.25bc-2

Simplifying
a = -0.25bc-2
Solution
a = {-0.25bc-2}

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