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

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

Simplifying
x2 + (y + -2)(y + -2) = 4

Reorder the terms:
x2 + (-2 + y)(y + -2) = 4

Reorder the terms:
x2 + (-2 + y)(-2 + y) = 4

Multiply (-2 + y) * (-2 + y)
x2 + (-2(-2 + y) + y(-2 + y)) = 4
x2 + ((-2 * -2 + y * -2) + y(-2 + y)) = 4
x2 + ((4 + -2y) + y(-2 + y)) = 4
x2 + (4 + -2y + (-2 * y + y * y)) = 4
x2 + (4 + -2y + (-2y + y2)) = 4

Combine like terms: -2y + -2y = -4y
x2 + (4 + -4y + y2) = 4

Reorder the terms:
4 + x2 + -4y + y2 = 4

Add '-4' to each side of the equation.
4 + x2 + -4y + -4 + y2 = 4 + -4

Reorder the terms:
4 + -4 + x2 + -4y + y2 = 4 + -4

Combine like terms: 4 + -4 = 0
0 + x2 + -4y + y2 = 4 + -4
x2 + -4y + y2 = 4 + -4

Combine like terms: 4 + -4 = 0
x2 + -4y + y2 = 0

Solving
x2 + -4y + y2 = 0

Solving for variable 'x'.

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

Add '4y' to each side of the equation.
x2 + -4y + 4y + y2 = 0 + 4y

Combine like terms: -4y + 4y = 0
x2 + 0 + y2 = 0 + 4y
x2 + y2 = 0 + 4y
Remove the zero:
x2 + y2 = 4y

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 = 4y + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 = 4y + -1y2
x2 = 4y + -1y2

Simplifying
x2 = 4y + -1y2

Reorder the terms:
x2 + -4y + y2 = 4y + -4y + -1y2 + y2

Combine like terms: 4y + -4y = 0
x2 + -4y + y2 = 0 + -1y2 + y2
x2 + -4y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
x2 + -4y + y2 = 0

The solution to this equation could not be determined.