36a^2-12abc+16a^2b^2=0

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Solution for 36a^2-12abc+16a^2b^2=0 equation: 


Simplifying
36a2 + -12abc + 16a2b2 = 0

Reorder the terms:
-12abc + 36a2 + 16a2b2 = 0

Solving
-12abc + 36a2 + 16a2b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a'.
4a(-3bc + 9a + 4ab2) = 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 '(-3bc + 9a + 4ab2)' equal to zero and attempt to solve:

Simplifying
-3bc + 9a + 4ab2 = 0

Reorder the terms:
9a + 4ab2 + -3bc = 0

Solving
9a + 4ab2 + -3bc = 0

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

Add '3bc' to each side of the equation.
9a + 4ab2 + -3bc + 3bc = 0 + 3bc

Combine like terms: -3bc + 3bc = 0
9a + 4ab2 + 0 = 0 + 3bc
9a + 4ab2 = 0 + 3bc
Remove the zero:
9a + 4ab2 = 3bc

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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