(x-5)(x-5)+(y-5)(y-5)=25

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Solution for (x-5)(x-5)+(y-5)(y-5)=25 equation: 


Simplifying
(x + -5)(x + -5) + (y + -5)(y + -5) = 25

Reorder the terms:
(-5 + x)(x + -5) + (y + -5)(y + -5) = 25

Reorder the terms:
(-5 + x)(-5 + x) + (y + -5)(y + -5) = 25

Multiply (-5 + x) * (-5 + x)
(-5(-5 + x) + x(-5 + x)) + (y + -5)(y + -5) = 25
((-5 * -5 + x * -5) + x(-5 + x)) + (y + -5)(y + -5) = 25
((25 + -5x) + x(-5 + x)) + (y + -5)(y + -5) = 25
(25 + -5x + (-5 * x + x * x)) + (y + -5)(y + -5) = 25
(25 + -5x + (-5x + x2)) + (y + -5)(y + -5) = 25

Combine like terms: -5x + -5x = -10x
(25 + -10x + x2) + (y + -5)(y + -5) = 25

Reorder the terms:
25 + -10x + x2 + (-5 + y)(y + -5) = 25

Reorder the terms:
25 + -10x + x2 + (-5 + y)(-5 + y) = 25

Multiply (-5 + y) * (-5 + y)
25 + -10x + x2 + (-5(-5 + y) + y(-5 + y)) = 25
25 + -10x + x2 + ((-5 * -5 + y * -5) + y(-5 + y)) = 25
25 + -10x + x2 + ((25 + -5y) + y(-5 + y)) = 25
25 + -10x + x2 + (25 + -5y + (-5 * y + y * y)) = 25
25 + -10x + x2 + (25 + -5y + (-5y + y2)) = 25

Combine like terms: -5y + -5y = -10y
25 + -10x + x2 + (25 + -10y + y2) = 25

Reorder the terms:
25 + 25 + -10x + x2 + -10y + y2 = 25

Combine like terms: 25 + 25 = 50
50 + -10x + x2 + -10y + y2 = 25

Solving
50 + -10x + x2 + -10y + y2 = 25

Solving for variable 'x'.

Reorder the terms:
50 + -25 + -10x + x2 + -10y + y2 = 25 + -25

Combine like terms: 50 + -25 = 25
25 + -10x + x2 + -10y + y2 = 25 + -25

Combine like terms: 25 + -25 = 0
25 + -10x + x2 + -10y + y2 = 0

The solution to this equation could not be determined.

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