(x-3)2+(y-1)2=22

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Solution for (x-3)2+(y-1)2=22 equation:


Simplifying
(x + -3) * 2 + (y + -1) * 2 = 22

Reorder the terms:
(-3 + x) * 2 + (y + -1) * 2 = 22

Reorder the terms for easier multiplication:
2(-3 + x) + (y + -1) * 2 = 22
(-3 * 2 + x * 2) + (y + -1) * 2 = 22
(-6 + 2x) + (y + -1) * 2 = 22

Reorder the terms:
-6 + 2x + (-1 + y) * 2 = 22

Reorder the terms for easier multiplication:
-6 + 2x + 2(-1 + y) = 22
-6 + 2x + (-1 * 2 + y * 2) = 22
-6 + 2x + (-2 + 2y) = 22

Reorder the terms:
-6 + -2 + 2x + 2y = 22

Combine like terms: -6 + -2 = -8
-8 + 2x + 2y = 22

Solving
-8 + 2x + 2y = 22

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 2x + 8 + 2y = 22 + 8

Reorder the terms:
-8 + 8 + 2x + 2y = 22 + 8

Combine like terms: -8 + 8 = 0
0 + 2x + 2y = 22 + 8
2x + 2y = 22 + 8

Combine like terms: 22 + 8 = 30
2x + 2y = 30

Add '-2y' to each side of the equation.
2x + 2y + -2y = 30 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 30 + -2y
2x = 30 + -2y

Divide each side by '2'.
x = 15 + -1y

Simplifying
x = 15 + -1y

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