4a^4+6a^3b^2+2a^2b^3=

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Solution for 4a^4+6a^3b^2+2a^2b^3= equation: 


Simplifying
4a4 + 6a3b2 + 2a2b3 = 0

Reorder the terms:
2a2b3 + 6a3b2 + 4a4 = 0

Solving
2a2b3 + 6a3b2 + 4a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a2'.
2a2(b3 + 3ab2 + 2a2) = 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 '(b3 + 3ab2 + 2a2)' equal to zero and attempt to solve:

Simplifying
b3 + 3ab2 + 2a2 = 0

Reorder the terms:
3ab2 + 2a2 + b3 = 0

Solving
3ab2 + 2a2 + b3 = 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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