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

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Solution for 4=(x+3)2+(y-5)2 equation:


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

Reorder the terms:
4 = (3 + x) * 2 + (y + -5) * 2

Reorder the terms for easier multiplication:
4 = 2(3 + x) + (y + -5) * 2
4 = (3 * 2 + x * 2) + (y + -5) * 2
4 = (6 + 2x) + (y + -5) * 2

Reorder the terms:
4 = 6 + 2x + (-5 + y) * 2

Reorder the terms for easier multiplication:
4 = 6 + 2x + 2(-5 + y)
4 = 6 + 2x + (-5 * 2 + y * 2)
4 = 6 + 2x + (-10 + 2y)

Reorder the terms:
4 = 6 + -10 + 2x + 2y

Combine like terms: 6 + -10 = -4
4 = -4 + 2x + 2y

Solving
4 = -4 + 2x + 2y

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4 + -2x = -4 + 2x + -2x + 2y

Combine like terms: 2x + -2x = 0
4 + -2x = -4 + 0 + 2y
4 + -2x = -4 + 2y

Add '-4' to each side of the equation.
4 + -4 + -2x = -4 + -4 + 2y

Combine like terms: 4 + -4 = 0
0 + -2x = -4 + -4 + 2y
-2x = -4 + -4 + 2y

Combine like terms: -4 + -4 = -8
-2x = -8 + 2y

Divide each side by '-2'.
x = 4 + -1y

Simplifying
x = 4 + -1y

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