0=x^2*(1-(y)(x^2))

Solution for 0=x^2*(1-(y)(x^2)) equation:

Simplifying
0 = x2(1 + -1(y)(x2))

Multiply y * x2
0 = x2(1 + -1x2y)
0 = (1 * x2 + -1x2y * x2)
0 = (1x2 + -1x4y)

Solving
0 = 1x2 + -1x4y

Solving for variable 'x'.
Remove the zero:
-1x2 + x4y = 1x2 + -1x4y + -1x2 + x4y

Reorder the terms:
-1x2 + x4y = 1x2 + -1x2 + -1x4y + x4y

Combine like terms: 1x2 + -1x2 = 0
-1x2 + x4y = 0 + -1x4y + x4y
-1x2 + x4y = -1x4y + x4y

Combine like terms: -1x4y + x4y = 0
-1x2 + x4y = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-1 + x2y) = 0

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 '(-1 + x2y)' equal to zero and attempt to solve:

Simplifying
-1 + x2y = 0

Solving
-1 + x2y = 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 + x2y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + x2y = 0 + 1
x2y = 0 + 1

Combine like terms: 0 + 1 = 1
x2y = 1

Divide each side by 'y'.
x2 = y-1

Simplifying
x2 = y-1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}