(3x-y)(3x-y)+(x-5)(x-5)=0

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Solution for (3x-y)(3x-y)+(x-5)(x-5)=0 equation: 


Simplifying
(3x + -1y)(3x + -1y) + (x + -5)(x + -5) = 0

Multiply (3x + -1y) * (3x + -1y)
(3x * (3x + -1y) + -1y * (3x + -1y)) + (x + -5)(x + -5) = 0
((3x * 3x + -1y * 3x) + -1y * (3x + -1y)) + (x + -5)(x + -5) = 0

Reorder the terms:
((-3xy + 9x2) + -1y * (3x + -1y)) + (x + -5)(x + -5) = 0
((-3xy + 9x2) + -1y * (3x + -1y)) + (x + -5)(x + -5) = 0
(-3xy + 9x2 + (3x * -1y + -1y * -1y)) + (x + -5)(x + -5) = 0
(-3xy + 9x2 + (-3xy + 1y2)) + (x + -5)(x + -5) = 0

Reorder the terms:
(-3xy + -3xy + 9x2 + 1y2) + (x + -5)(x + -5) = 0

Combine like terms: -3xy + -3xy = -6xy
(-6xy + 9x2 + 1y2) + (x + -5)(x + -5) = 0

Reorder the terms:
-6xy + 9x2 + 1y2 + (-5 + x)(x + -5) = 0

Reorder the terms:
-6xy + 9x2 + 1y2 + (-5 + x)(-5 + x) = 0

Multiply (-5 + x) * (-5 + x)
-6xy + 9x2 + 1y2 + (-5(-5 + x) + x(-5 + x)) = 0
-6xy + 9x2 + 1y2 + ((-5 * -5 + x * -5) + x(-5 + x)) = 0
-6xy + 9x2 + 1y2 + ((25 + -5x) + x(-5 + x)) = 0
-6xy + 9x2 + 1y2 + (25 + -5x + (-5 * x + x * x)) = 0
-6xy + 9x2 + 1y2 + (25 + -5x + (-5x + x2)) = 0

Combine like terms: -5x + -5x = -10x
-6xy + 9x2 + 1y2 + (25 + -10x + x2) = 0

Reorder the terms:
25 + -10x + -6xy + 9x2 + x2 + 1y2 = 0

Combine like terms: 9x2 + x2 = 10x2
25 + -10x + -6xy + 10x2 + 1y2 = 0

Solving
25 + -10x + -6xy + 10x2 + 1y2 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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