16x^5+40x^3y^3+25xy^6=0

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Solution for 16x^5+40x^3y^3+25xy^6=0 equation: 


Simplifying
16x5 + 40x3y3 + 25xy6 = 0

Reorder the terms:
25xy6 + 40x3y3 + 16x5 = 0

Solving
25xy6 + 40x3y3 + 16x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(25y6 + 40x2y3 + 16x4) = 0

Factor a trinomial.
x((5y3 + 4x2)(5y3 + 4x2)) = 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 '(5y3 + 4x2)' equal to zero and attempt to solve:

Simplifying
5y3 + 4x2 = 0

Reorder the terms:
4x2 + 5y3 = 0

Solving
4x2 + 5y3 = 0

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

Add '-5y3' to each side of the equation.
4x2 + 5y3 + -5y3 = 0 + -5y3

Combine like terms: 5y3 + -5y3 = 0
4x2 + 0 = 0 + -5y3
4x2 = 0 + -5y3
Remove the zero:
4x2 = -5y3

Divide each side by '4'.
x2 = -1.25y3

Simplifying
x2 = -1.25y3

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 '(5y3 + 4x2)' equal to zero and attempt to solve:

Simplifying
5y3 + 4x2 = 0

Reorder the terms:
4x2 + 5y3 = 0

Solving
4x2 + 5y3 = 0

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

Add '-5y3' to each side of the equation.
4x2 + 5y3 + -5y3 = 0 + -5y3

Combine like terms: 5y3 + -5y3 = 0
4x2 + 0 = 0 + -5y3
4x2 = 0 + -5y3
Remove the zero:
4x2 = -5y3

Divide each side by '4'.
x2 = -1.25y3

Simplifying
x2 = -1.25y3

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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