x^2+y^2-4y+4=9

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Solution for x^2+y^2-4y+4=9 equation:


Simplifying
x2 + y2 + -4y + 4 = 9

Reorder the terms:
4 + x2 + -4y + y2 = 9

Solving
4 + x2 + -4y + y2 = 9

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + x2 + -4y + -4 + y2 = 9 + -4

Reorder the terms:
4 + -4 + x2 + -4y + y2 = 9 + -4

Combine like terms: 4 + -4 = 0
0 + x2 + -4y + y2 = 9 + -4
x2 + -4y + y2 = 9 + -4

Combine like terms: 9 + -4 = 5
x2 + -4y + y2 = 5

Add '4y' to each side of the equation.
x2 + -4y + 4y + y2 = 5 + 4y

Combine like terms: -4y + 4y = 0
x2 + 0 + y2 = 5 + 4y
x2 + y2 = 5 + 4y

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 = 5 + 4y + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 = 5 + 4y + -1y2
x2 = 5 + 4y + -1y2

Simplifying
x2 = 5 + 4y + -1y2

Reorder the terms:
-5 + x2 + -4y + y2 = 5 + 4y + -1y2 + -5 + -4y + y2

Reorder the terms:
-5 + x2 + -4y + y2 = 5 + -5 + 4y + -4y + -1y2 + y2

Combine like terms: 5 + -5 = 0
-5 + x2 + -4y + y2 = 0 + 4y + -4y + -1y2 + y2
-5 + x2 + -4y + y2 = 4y + -4y + -1y2 + y2

Combine like terms: 4y + -4y = 0
-5 + x2 + -4y + y2 = 0 + -1y2 + y2
-5 + x2 + -4y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-5 + x2 + -4y + y2 = 0

The solution to this equation could not be determined.

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