(x-2)2+(y+3)2=4

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Solution for (x-2)2+(y+3)2=4 equation: 


Simplifying
(x + -2) * 2 + (y + 3) * 2 = 4

Reorder the terms:
(-2 + x) * 2 + (y + 3) * 2 = 4

Reorder the terms for easier multiplication:
2(-2 + x) + (y + 3) * 2 = 4
(-2 * 2 + x * 2) + (y + 3) * 2 = 4
(-4 + 2x) + (y + 3) * 2 = 4

Reorder the terms:
-4 + 2x + (3 + y) * 2 = 4

Reorder the terms for easier multiplication:
-4 + 2x + 2(3 + y) = 4
-4 + 2x + (3 * 2 + y * 2) = 4
-4 + 2x + (6 + 2y) = 4

Reorder the terms:
-4 + 6 + 2x + 2y = 4

Combine like terms: -4 + 6 = 2
2 + 2x + 2y = 4

Solving
2 + 2x + 2y = 4

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + 2x + -2 + 2y = 4 + -2

Reorder the terms:
2 + -2 + 2x + 2y = 4 + -2

Combine like terms: 2 + -2 = 0
0 + 2x + 2y = 4 + -2
2x + 2y = 4 + -2

Combine like terms: 4 + -2 = 2
2x + 2y = 2

Add '-2y' to each side of the equation.
2x + 2y + -2y = 2 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 2 + -2y
2x = 2 + -2y

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

Simplifying
x = 1 + -1y

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