(x-6)2+(y+5)2=152

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Solution for (x-6)2+(y+5)2=152 equation:


Simplifying
(x + -6) * 2 + (y + 5) * 2 = 152

Reorder the terms:
(-6 + x) * 2 + (y + 5) * 2 = 152

Reorder the terms for easier multiplication:
2(-6 + x) + (y + 5) * 2 = 152
(-6 * 2 + x * 2) + (y + 5) * 2 = 152
(-12 + 2x) + (y + 5) * 2 = 152

Reorder the terms:
-12 + 2x + (5 + y) * 2 = 152

Reorder the terms for easier multiplication:
-12 + 2x + 2(5 + y) = 152
-12 + 2x + (5 * 2 + y * 2) = 152
-12 + 2x + (10 + 2y) = 152

Reorder the terms:
-12 + 10 + 2x + 2y = 152

Combine like terms: -12 + 10 = -2
-2 + 2x + 2y = 152

Solving
-2 + 2x + 2y = 152

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 = 152 + 2

Reorder the terms:
-2 + 2 + 2x + 2y = 152 + 2

Combine like terms: -2 + 2 = 0
0 + 2x + 2y = 152 + 2
2x + 2y = 152 + 2

Combine like terms: 152 + 2 = 154
2x + 2y = 154

Add '-2y' to each side of the equation.
2x + 2y + -2y = 154 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 154 + -2y
2x = 154 + -2y

Divide each side by '2'.
x = 77 + -1y

Simplifying
x = 77 + -1y

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