(x-2)2+(y+1)2=5

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Solution for (x-2)2+(y+1)2=5 equation: 


Simplifying
(x + -2) * 2 + (y + 1) * 2 = 5

Reorder the terms:
(-2 + x) * 2 + (y + 1) * 2 = 5

Reorder the terms for easier multiplication:
2(-2 + x) + (y + 1) * 2 = 5
(-2 * 2 + x * 2) + (y + 1) * 2 = 5
(-4 + 2x) + (y + 1) * 2 = 5

Reorder the terms:
-4 + 2x + (1 + y) * 2 = 5

Reorder the terms for easier multiplication:
-4 + 2x + 2(1 + y) = 5
-4 + 2x + (1 * 2 + y * 2) = 5
-4 + 2x + (2 + 2y) = 5

Reorder the terms:
-4 + 2 + 2x + 2y = 5

Combine like terms: -4 + 2 = -2
-2 + 2x + 2y = 5

Solving
-2 + 2x + 2y = 5

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 = 5 + 2

Reorder the terms:
-2 + 2 + 2x + 2y = 5 + 2

Combine like terms: -2 + 2 = 0
0 + 2x + 2y = 5 + 2
2x + 2y = 5 + 2

Combine like terms: 5 + 2 = 7
2x + 2y = 7

Add '-2y' to each side of the equation.
2x + 2y + -2y = 7 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 7 + -2y
2x = 7 + -2y

Divide each side by '2'.
x = 3.5 + -1y

Simplifying
x = 3.5 + -1y

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