3a^3+27ab^2=

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Solution for 3a^3+27ab^2= equation: 


Simplifying
3a3 + 27ab2 = 0

Reorder the terms:
27ab2 + 3a3 = 0

Solving
27ab2 + 3a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(9b2 + a2) = 0

Ignore the factor 3.

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 '(9b2 + a2)' equal to zero and attempt to solve:

Simplifying
9b2 + a2 = 0

Reorder the terms:
a2 + 9b2 = 0

Solving
a2 + 9b2 = 0

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

Add '-9b2' to each side of the equation.
a2 + 9b2 + -9b2 = 0 + -9b2

Combine like terms: 9b2 + -9b2 = 0
a2 + 0 = 0 + -9b2
a2 = 0 + -9b2
Remove the zero:
a2 = -9b2

Simplifying
a2 = -9b2

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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