4a^3B^3c^3-6a^2b^4c^3+8a^4B^2C^2=

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Solution for 4a^3B^3c^3-6a^2b^4c^3+8a^4B^2C^2= equation: 


Simplifying
4a3B3c3 + -6a2b4c3 + 8a4B2C2 = 0

Reorder the terms:
-6a2b4c3 + 4a3c3B3 + 8a4B2C2 = 0

Solving
-6a2b4c3 + 4a3c3B3 + 8a4B2C2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a2'.
2a2(-3b4c3 + 2ac3B3 + 4a2B2C2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}

Subproblem 2
Set the factor '(-3b4c3 + 2ac3B3 + 4a2B2C2)' equal to zero and attempt to solve:

Simplifying
-3b4c3 + 2ac3B3 + 4a2B2C2 = 0

Reorder the terms:
2ac3B3 + 4a2B2C2 + -3b4c3 = 0

Solving
2ac3B3 + 4a2B2C2 + -3b4c3 = 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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