(x-5)2+(y-3)2=25

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Solution for (x-5)2+(y-3)2=25 equation:


Simplifying
(x + -5) * 2 + (y + -3) * 2 = 25

Reorder the terms:
(-5 + x) * 2 + (y + -3) * 2 = 25

Reorder the terms for easier multiplication:
2(-5 + x) + (y + -3) * 2 = 25
(-5 * 2 + x * 2) + (y + -3) * 2 = 25
(-10 + 2x) + (y + -3) * 2 = 25

Reorder the terms:
-10 + 2x + (-3 + y) * 2 = 25

Reorder the terms for easier multiplication:
-10 + 2x + 2(-3 + y) = 25
-10 + 2x + (-3 * 2 + y * 2) = 25
-10 + 2x + (-6 + 2y) = 25

Reorder the terms:
-10 + -6 + 2x + 2y = 25

Combine like terms: -10 + -6 = -16
-16 + 2x + 2y = 25

Solving
-16 + 2x + 2y = 25

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 2x + 16 + 2y = 25 + 16

Reorder the terms:
-16 + 16 + 2x + 2y = 25 + 16

Combine like terms: -16 + 16 = 0
0 + 2x + 2y = 25 + 16
2x + 2y = 25 + 16

Combine like terms: 25 + 16 = 41
2x + 2y = 41

Add '-2y' to each side of the equation.
2x + 2y + -2y = 41 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 41 + -2y
2x = 41 + -2y

Divide each side by '2'.
x = 20.5 + -1y

Simplifying
x = 20.5 + -1y

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