(x+1)2+(y-6)2=25

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Solution for (x+1)2+(y-6)2=25 equation: 


Simplifying
(x + 1) * 2 + (y + -6) * 2 = 25

Reorder the terms:
(1 + x) * 2 + (y + -6) * 2 = 25

Reorder the terms for easier multiplication:
2(1 + x) + (y + -6) * 2 = 25
(1 * 2 + x * 2) + (y + -6) * 2 = 25
(2 + 2x) + (y + -6) * 2 = 25

Reorder the terms:
2 + 2x + (-6 + y) * 2 = 25

Reorder the terms for easier multiplication:
2 + 2x + 2(-6 + y) = 25
2 + 2x + (-6 * 2 + y * 2) = 25
2 + 2x + (-12 + 2y) = 25

Reorder the terms:
2 + -12 + 2x + 2y = 25

Combine like terms: 2 + -12 = -10
-10 + 2x + 2y = 25

Solving
-10 + 2x + 2y = 25

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 2x + 10 + 2y = 25 + 10

Reorder the terms:
-10 + 10 + 2x + 2y = 25 + 10

Combine like terms: -10 + 10 = 0
0 + 2x + 2y = 25 + 10
2x + 2y = 25 + 10

Combine like terms: 25 + 10 = 35
2x + 2y = 35

Add '-2y' to each side of the equation.
2x + 2y + -2y = 35 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 35 + -2y
2x = 35 + -2y

Divide each side by '2'.
x = 17.5 + -1y

Simplifying
x = 17.5 + -1y

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