(x+1)2+(y-2)2=4

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Solution for (x+1)2+(y-2)2=4 equation: 


Simplifying
(x + 1) * 2 + (y + -2) * 2 = 4

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

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

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

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

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

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

Add '-2y' to each side of the equation.
2x + 2y + -2y = 6 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 6 + -2y
2x = 6 + -2y

Divide each side by '2'.
x = 3 + -1y

Simplifying
x = 3 + -1y

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