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

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


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

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

Reorder the terms for easier multiplication:
2(-5 + x) + (y + -4) * 2 = 25
(-5 * 2 + x * 2) + (y + -4) * 2 = 25
(-10 + 2x) + (y + -4) * 2 = 25

Reorder the terms:
-10 + 2x + (-4 + y) * 2 = 25

Reorder the terms for easier multiplication:
-10 + 2x + 2(-4 + y) = 25
-10 + 2x + (-4 * 2 + y * 2) = 25
-10 + 2x + (-8 + 2y) = 25

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

Combine like terms: -10 + -8 = -18
-18 + 2x + 2y = 25

Solving
-18 + 2x + 2y = 25

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 2x + 18 + 2y = 25 + 18

Reorder the terms:
-18 + 18 + 2x + 2y = 25 + 18

Combine like terms: -18 + 18 = 0
0 + 2x + 2y = 25 + 18
2x + 2y = 25 + 18

Combine like terms: 25 + 18 = 43
2x + 2y = 43

Add '-2y' to each side of the equation.
2x + 2y + -2y = 43 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 43 + -2y
2x = 43 + -2y

Divide each side by '2'.
x = 21.5 + -1y

Simplifying
x = 21.5 + -1y

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