12a^4b^3c^2-4a^3bc^2+8a^2c-16ab=0

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Solution for 12a^4b^3c^2-4a^3bc^2+8a^2c-16ab=0 equation: 


Simplifying
12a4b3c2 + -4a3bc2 + 8a2c + -16ab = 0

Reorder the terms:
-16ab + 8a2c + -4a3bc2 + 12a4b3c2 = 0

Solving
-16ab + 8a2c + -4a3bc2 + 12a4b3c2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a'.
4a(-4b + 2ac + -1a2bc2 + 3a3b3c2) = 0

Ignore the factor 4.

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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(-4b + 2ac + -1a2bc2 + 3a3b3c2)' equal to zero and attempt to solve:

Simplifying
-4b + 2ac + -1a2bc2 + 3a3b3c2 = 0

Reorder the terms:
2ac + -1a2bc2 + 3a3b3c2 + -4b = 0

Solving
2ac + -1a2bc2 + 3a3b3c2 + -4b = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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