(x-5)(x-5)+(y-4)(y-4)=0

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Solution for (x-5)(x-5)+(y-4)(y-4)=0 equation:


Simplifying
(x + -5)(x + -5) + (y + -4)(y + -4) = 0

Reorder the terms:
(-5 + x)(x + -5) + (y + -4)(y + -4) = 0

Reorder the terms:
(-5 + x)(-5 + x) + (y + -4)(y + -4) = 0

Multiply (-5 + x) * (-5 + x)
(-5(-5 + x) + x(-5 + x)) + (y + -4)(y + -4) = 0
((-5 * -5 + x * -5) + x(-5 + x)) + (y + -4)(y + -4) = 0
((25 + -5x) + x(-5 + x)) + (y + -4)(y + -4) = 0
(25 + -5x + (-5 * x + x * x)) + (y + -4)(y + -4) = 0
(25 + -5x + (-5x + x2)) + (y + -4)(y + -4) = 0

Combine like terms: -5x + -5x = -10x
(25 + -10x + x2) + (y + -4)(y + -4) = 0

Reorder the terms:
25 + -10x + x2 + (-4 + y)(y + -4) = 0

Reorder the terms:
25 + -10x + x2 + (-4 + y)(-4 + y) = 0

Multiply (-4 + y) * (-4 + y)
25 + -10x + x2 + (-4(-4 + y) + y(-4 + y)) = 0
25 + -10x + x2 + ((-4 * -4 + y * -4) + y(-4 + y)) = 0
25 + -10x + x2 + ((16 + -4y) + y(-4 + y)) = 0
25 + -10x + x2 + (16 + -4y + (-4 * y + y * y)) = 0
25 + -10x + x2 + (16 + -4y + (-4y + y2)) = 0

Combine like terms: -4y + -4y = -8y
25 + -10x + x2 + (16 + -8y + y2) = 0

Reorder the terms:
25 + 16 + -10x + x2 + -8y + y2 = 0

Combine like terms: 25 + 16 = 41
41 + -10x + x2 + -8y + y2 = 0

Solving
41 + -10x + x2 + -8y + y2 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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