16x^3y-40x^2y^2+25xy^3=0

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Solution for 16x^3y-40x^2y^2+25xy^3=0 equation: 


Simplifying
16x3y + -40x2y2 + 25xy3 = 0

Reorder the terms:
25xy3 + -40x2y2 + 16x3y = 0

Solving
25xy3 + -40x2y2 + 16x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(25y2 + -40xy + 16x2) = 0

Factor a trinomial.
xy((5y + -4x)(5y + -4x)) = 0


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

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 0

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(5y + -4x)' equal to zero and attempt to solve:

Simplifying
5y + -4x = 0

Reorder the terms:
-4x + 5y = 0

Solving
-4x + 5y = 0

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

Add '-5y' to each side of the equation.
-4x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
-4x + 0 = 0 + -5y
-4x = 0 + -5y
Remove the zero:
-4x = -5y

Divide each side by '-4'.
x = 1.25y

Simplifying
x = 1.25y

Subproblem 3
Set the factor '(5y + -4x)' equal to zero and attempt to solve:

Simplifying
5y + -4x = 0

Reorder the terms:
-4x + 5y = 0

Solving
-4x + 5y = 0

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

Add '-5y' to each side of the equation.
-4x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
-4x + 0 = 0 + -5y
-4x = 0 + -5y
Remove the zero:
-4x = -5y

Divide each side by '-4'.
x = 1.25y

Simplifying
x = 1.25y
Solution
x = {1.25y, 1.25y}

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