(x+2)2+(y+3)2=196

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Solution for (x+2)2+(y+3)2=196 equation:


Simplifying
(x + 2) * 2 + (y + 3) * 2 = 196

Reorder the terms:
(2 + x) * 2 + (y + 3) * 2 = 196

Reorder the terms for easier multiplication:
2(2 + x) + (y + 3) * 2 = 196
(2 * 2 + x * 2) + (y + 3) * 2 = 196
(4 + 2x) + (y + 3) * 2 = 196

Reorder the terms:
4 + 2x + (3 + y) * 2 = 196

Reorder the terms for easier multiplication:
4 + 2x + 2(3 + y) = 196
4 + 2x + (3 * 2 + y * 2) = 196
4 + 2x + (6 + 2y) = 196

Reorder the terms:
4 + 6 + 2x + 2y = 196

Combine like terms: 4 + 6 = 10
10 + 2x + 2y = 196

Solving
10 + 2x + 2y = 196

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + 2x + -10 + 2y = 196 + -10

Reorder the terms:
10 + -10 + 2x + 2y = 196 + -10

Combine like terms: 10 + -10 = 0
0 + 2x + 2y = 196 + -10
2x + 2y = 196 + -10

Combine like terms: 196 + -10 = 186
2x + 2y = 186

Add '-2y' to each side of the equation.
2x + 2y + -2y = 186 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 186 + -2y
2x = 186 + -2y

Divide each side by '2'.
x = 93 + -1y

Simplifying
x = 93 + -1y

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