16x^5y^4-4x^3y^2=

Solution for 16x^5y^4-4x^3y^2= equation:

Simplifying
16x5y4 + -4x3y2 = 0

Reorder the terms:
-4x3y2 + 16x5y4 = 0

Solving
-4x3y2 + 16x5y4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x3y2'.
4x3y2(-1 + 4x2y2) = 0

Factor a difference between two squares.
4x3y2((1 + 2xy)(-1 + 2xy)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'x3y2' equal to zero and attempt to solve:

Simplifying
x3y2 = 0

Solving
x3y2 = 0

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

Simplifying
x3y2 = 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 '(1 + 2xy)' equal to zero and attempt to solve:

Simplifying
1 + 2xy = 0

Solving
1 + 2xy = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2xy = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2xy = 0 + -1
2xy = 0 + -1

Combine like terms: 0 + -1 = -1
2xy = -1

Divide each side by '2y'.
x = -0.5y-1

Simplifying
x = -0.5y-1
Subproblem 3
Set the factor '(-1 + 2xy)' equal to zero and attempt to solve:

Simplifying
-1 + 2xy = 0

Solving
-1 + 2xy = 0

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

Add '1' to each side of the equation.
-1 + 1 + 2xy = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2xy = 0 + 1
2xy = 0 + 1

Combine like terms: 0 + 1 = 1
2xy = 1

Divide each side by '2y'.
x = 0.5y-1

Simplifying
x = 0.5y-1
Solution
x = {-0.5y-1, 0.5y-1}