54x^3+6xy^2=0

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Solution for 54x^3+6xy^2=0 equation: 


Simplifying
54x3 + 6xy2 = 0

Reorder the terms:
6xy2 + 54x3 = 0

Solving
6xy2 + 54x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(y2 + 9x2) = 0

Ignore the factor 6.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(y2 + 9x2)' equal to zero and attempt to solve:

Simplifying
y2 + 9x2 = 0

Reorder the terms:
9x2 + y2 = 0

Solving
9x2 + y2 = 0

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

Add '-1y2' to each side of the equation.
9x2 + y2 + -1y2 = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
9x2 + 0 = 0 + -1y2
9x2 = 0 + -1y2
Remove the zero:
9x2 = -1y2

Divide each side by '9'.
x2 = -0.1111111111y2

Simplifying
x2 = -0.1111111111y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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