(x+1.5)2+(y+1)2=9

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Solution for (x+1.5)2+(y+1)2=9 equation:


Simplifying
(x + 1.5) * 2 + (y + 1) * 2 = 9

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

Reorder the terms for easier multiplication:
2(1.5 + x) + (y + 1) * 2 = 9
(1.5 * 2 + x * 2) + (y + 1) * 2 = 9
(3 + 2x) + (y + 1) * 2 = 9

Reorder the terms:
3 + 2x + (1 + y) * 2 = 9

Reorder the terms for easier multiplication:
3 + 2x + 2(1 + y) = 9
3 + 2x + (1 * 2 + y * 2) = 9
3 + 2x + (2 + 2y) = 9

Reorder the terms:
3 + 2 + 2x + 2y = 9

Combine like terms: 3 + 2 = 5
5 + 2x + 2y = 9

Solving
5 + 2x + 2y = 9

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + 2x + -5 + 2y = 9 + -5

Reorder the terms:
5 + -5 + 2x + 2y = 9 + -5

Combine like terms: 5 + -5 = 0
0 + 2x + 2y = 9 + -5
2x + 2y = 9 + -5

Combine like terms: 9 + -5 = 4
2x + 2y = 4

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

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

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

Simplifying
x = 2 + -1y

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