(x+3)2+(y-4)2=36

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Solution for (x+3)2+(y-4)2=36 equation:


Simplifying
(x + 3) * 2 + (y + -4) * 2 = 36

Reorder the terms:
(3 + x) * 2 + (y + -4) * 2 = 36

Reorder the terms for easier multiplication:
2(3 + x) + (y + -4) * 2 = 36
(3 * 2 + x * 2) + (y + -4) * 2 = 36
(6 + 2x) + (y + -4) * 2 = 36

Reorder the terms:
6 + 2x + (-4 + y) * 2 = 36

Reorder the terms for easier multiplication:
6 + 2x + 2(-4 + y) = 36
6 + 2x + (-4 * 2 + y * 2) = 36
6 + 2x + (-8 + 2y) = 36

Reorder the terms:
6 + -8 + 2x + 2y = 36

Combine like terms: 6 + -8 = -2
-2 + 2x + 2y = 36

Solving
-2 + 2x + 2y = 36

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 = 36 + 2

Reorder the terms:
-2 + 2 + 2x + 2y = 36 + 2

Combine like terms: -2 + 2 = 0
0 + 2x + 2y = 36 + 2
2x + 2y = 36 + 2

Combine like terms: 36 + 2 = 38
2x + 2y = 38

Add '-2y' to each side of the equation.
2x + 2y + -2y = 38 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 38 + -2y
2x = 38 + -2y

Divide each side by '2'.
x = 19 + -1y

Simplifying
x = 19 + -1y

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