16x^5-54x^2y^3=0

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Solution for 16x^5-54x^2y^3=0 equation: 


Simplifying
16x5 + -54x2y3 = 0

Reorder the terms:
-54x2y3 + 16x5 = 0

Solving
-54x2y3 + 16x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-27y3 + 8x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-27y3 + 8x3)' equal to zero and attempt to solve:

Simplifying
-27y3 + 8x3 = 0

Reorder the terms:
8x3 + -27y3 = 0

Solving
8x3 + -27y3 = 0

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

Add '27y3' to each side of the equation.
8x3 + -27y3 + 27y3 = 0 + 27y3

Combine like terms: -27y3 + 27y3 = 0
8x3 + 0 = 0 + 27y3
8x3 = 0 + 27y3
Remove the zero:
8x3 = 27y3

Divide each side by '8'.
x3 = 3.375y3

Simplifying
x3 = 3.375y3

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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