(x^2)(y-(X^2)+4y)=0

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Solution for (x^2)(y-(X^2)+4y)=0 equation: 


Simplifying
(x2)(y + -1(X2) + 4y) = 0

Reorder the terms:
x2(-1X2 + y + 4y) = 0

Combine like terms: y + 4y = 5y
x2(-1X2 + 5y) = 0
(-1X2 * x2 + 5y * x2) = 0
(-1x2X2 + 5x2y) = 0

Solving
-1x2X2 + 5x2y = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-1X2 + 5y) = 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 '(-1X2 + 5y)' equal to zero and attempt to solve:

Simplifying
-1X2 + 5y = 0

Solving
-1X2 + 5y = 0

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

Add 'X2' to each side of the equation.
-1X2 + X2 + 5y = 0 + X2

Combine like terms: -1X2 + X2 = 0
0 + 5y = 0 + X2
5y = 0 + X2
Remove the zero:
5y = X2

Add '-5y' to each side of the equation.
5y + -5y = X2 + -5y

Combine like terms: 5y + -5y = 0
0 = X2 + -5y

Simplifying
0 = X2 + -5y

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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