(x-4)2+(y-7)2=36

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Solution for (x-4)2+(y-7)2=36 equation:


Simplifying
(x + -4) * 2 + (y + -7) * 2 = 36

Reorder the terms:
(-4 + x) * 2 + (y + -7) * 2 = 36

Reorder the terms for easier multiplication:
2(-4 + x) + (y + -7) * 2 = 36
(-4 * 2 + x * 2) + (y + -7) * 2 = 36
(-8 + 2x) + (y + -7) * 2 = 36

Reorder the terms:
-8 + 2x + (-7 + y) * 2 = 36

Reorder the terms for easier multiplication:
-8 + 2x + 2(-7 + y) = 36
-8 + 2x + (-7 * 2 + y * 2) = 36
-8 + 2x + (-14 + 2y) = 36

Reorder the terms:
-8 + -14 + 2x + 2y = 36

Combine like terms: -8 + -14 = -22
-22 + 2x + 2y = 36

Solving
-22 + 2x + 2y = 36

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 2x + 22 + 2y = 36 + 22

Reorder the terms:
-22 + 22 + 2x + 2y = 36 + 22

Combine like terms: -22 + 22 = 0
0 + 2x + 2y = 36 + 22
2x + 2y = 36 + 22

Combine like terms: 36 + 22 = 58
2x + 2y = 58

Add '-2y' to each side of the equation.
2x + 2y + -2y = 58 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 58 + -2y
2x = 58 + -2y

Divide each side by '2'.
x = 29 + -1y

Simplifying
x = 29 + -1y

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