(x-2)2-(y-9)2=48

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Solution for (x-2)2-(y-9)2=48 equation:


Simplifying
(x + -2) * 2 + -1(y + -9) * 2 = 48

Reorder the terms:
(-2 + x) * 2 + -1(y + -9) * 2 = 48

Reorder the terms for easier multiplication:
2(-2 + x) + -1(y + -9) * 2 = 48
(-2 * 2 + x * 2) + -1(y + -9) * 2 = 48
(-4 + 2x) + -1(y + -9) * 2 = 48

Reorder the terms:
-4 + 2x + -1(-9 + y) * 2 = 48

Reorder the terms for easier multiplication:
-4 + 2x + -1 * 2(-9 + y) = 48

Multiply -1 * 2
-4 + 2x + -2(-9 + y) = 48
-4 + 2x + (-9 * -2 + y * -2) = 48
-4 + 2x + (18 + -2y) = 48

Reorder the terms:
-4 + 18 + 2x + -2y = 48

Combine like terms: -4 + 18 = 14
14 + 2x + -2y = 48

Solving
14 + 2x + -2y = 48

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + 2x + -14 + -2y = 48 + -14

Reorder the terms:
14 + -14 + 2x + -2y = 48 + -14

Combine like terms: 14 + -14 = 0
0 + 2x + -2y = 48 + -14
2x + -2y = 48 + -14

Combine like terms: 48 + -14 = 34
2x + -2y = 34

Add '2y' to each side of the equation.
2x + -2y + 2y = 34 + 2y

Combine like terms: -2y + 2y = 0
2x + 0 = 34 + 2y
2x = 34 + 2y

Divide each side by '2'.
x = 17 + y

Simplifying
x = 17 + y

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