54a^4+16ab^3=0

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Solution for 54a^4+16ab^3=0 equation: 


Simplifying
54a4 + 16ab3 = 0

Reorder the terms:
16ab3 + 54a4 = 0

Solving
16ab3 + 54a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(8b3 + 27a3) = 0

Ignore the factor 2.

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 '(8b3 + 27a3)' equal to zero and attempt to solve:

Simplifying
8b3 + 27a3 = 0

Reorder the terms:
27a3 + 8b3 = 0

Solving
27a3 + 8b3 = 0

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

Add '-8b3' to each side of the equation.
27a3 + 8b3 + -8b3 = 0 + -8b3

Combine like terms: 8b3 + -8b3 = 0
27a3 + 0 = 0 + -8b3
27a3 = 0 + -8b3
Remove the zero:
27a3 = -8b3

Divide each side by '27'.
a3 = -0.2962962963b3

Simplifying
a3 = -0.2962962963b3

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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