2x^5-x^3y^2-15xy^4=0

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Solution for 2x^5-x^3y^2-15xy^4=0 equation: 


Simplifying
2x5 + -1x3y2 + -15xy4 = 0

Reorder the terms:
-15xy4 + -1x3y2 + 2x5 = 0

Solving
-15xy4 + -1x3y2 + 2x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-15y4 + -1x2y2 + 2x4) = 0

Factor a trinomial.
x((-5y2 + -2x2)(3y2 + -1x2)) = 0


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 '(-5y2 + -2x2)' equal to zero and attempt to solve:

Simplifying
-5y2 + -2x2 = 0

Reorder the terms:
-2x2 + -5y2 = 0

Solving
-2x2 + -5y2 = 0

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

Add '5y2' to each side of the equation.
-2x2 + -5y2 + 5y2 = 0 + 5y2

Combine like terms: -5y2 + 5y2 = 0
-2x2 + 0 = 0 + 5y2
-2x2 = 0 + 5y2
Remove the zero:
-2x2 = 5y2

Divide each side by '-2'.
x2 = -2.5y2

Simplifying
x2 = -2.5y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(3y2 + -1x2)' equal to zero and attempt to solve:

Simplifying
3y2 + -1x2 = 0

Reorder the terms:
-1x2 + 3y2 = 0

Solving
-1x2 + 3y2 = 0

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

Add '-3y2' to each side of the equation.
-1x2 + 3y2 + -3y2 = 0 + -3y2

Combine like terms: 3y2 + -3y2 = 0
-1x2 + 0 = 0 + -3y2
-1x2 = 0 + -3y2
Remove the zero:
-1x2 = -3y2

Divide each side by '-1'.
x2 = 3y2

Simplifying
x2 = 3y2

Take the square root of each side:
x = {-1.732050808y, 1.732050808y}
Solution
x = {0, -1.732050808y, 1.732050808y}

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