(x-1)2+(y+2)2=13

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Solution for (x-1)2+(y+2)2=13 equation:


Simplifying
(x + -1) * 2 + (y + 2) * 2 = 13

Reorder the terms:
(-1 + x) * 2 + (y + 2) * 2 = 13

Reorder the terms for easier multiplication:
2(-1 + x) + (y + 2) * 2 = 13
(-1 * 2 + x * 2) + (y + 2) * 2 = 13
(-2 + 2x) + (y + 2) * 2 = 13

Reorder the terms:
-2 + 2x + (2 + y) * 2 = 13

Reorder the terms for easier multiplication:
-2 + 2x + 2(2 + y) = 13
-2 + 2x + (2 * 2 + y * 2) = 13
-2 + 2x + (4 + 2y) = 13

Reorder the terms:
-2 + 4 + 2x + 2y = 13

Combine like terms: -2 + 4 = 2
2 + 2x + 2y = 13

Solving
2 + 2x + 2y = 13

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 = 13 + -2

Reorder the terms:
2 + -2 + 2x + 2y = 13 + -2

Combine like terms: 2 + -2 = 0
0 + 2x + 2y = 13 + -2
2x + 2y = 13 + -2

Combine like terms: 13 + -2 = 11
2x + 2y = 11

Add '-2y' to each side of the equation.
2x + 2y + -2y = 11 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 11 + -2y
2x = 11 + -2y

Divide each side by '2'.
x = 5.5 + -1y

Simplifying
x = 5.5 + -1y

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