(x-4)2+(y+5)2=25

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Solution for (x-4)2+(y+5)2=25 equation: 


Simplifying
(x + -4) * 2 + (y + 5) * 2 = 25

Reorder the terms:
(-4 + x) * 2 + (y + 5) * 2 = 25

Reorder the terms for easier multiplication:
2(-4 + x) + (y + 5) * 2 = 25
(-4 * 2 + x * 2) + (y + 5) * 2 = 25
(-8 + 2x) + (y + 5) * 2 = 25

Reorder the terms:
-8 + 2x + (5 + y) * 2 = 25

Reorder the terms for easier multiplication:
-8 + 2x + 2(5 + y) = 25
-8 + 2x + (5 * 2 + y * 2) = 25
-8 + 2x + (10 + 2y) = 25

Reorder the terms:
-8 + 10 + 2x + 2y = 25

Combine like terms: -8 + 10 = 2
2 + 2x + 2y = 25

Solving
2 + 2x + 2y = 25

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 = 25 + -2

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

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

Combine like terms: 25 + -2 = 23
2x + 2y = 23

Add '-2y' to each side of the equation.
2x + 2y + -2y = 23 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 23 + -2y
2x = 23 + -2y

Divide each side by '2'.
x = 11.5 + -1y

Simplifying
x = 11.5 + -1y

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