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

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


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

Reorder the terms:
(x + -1y)(-5 + y) = 0

Multiply (x + -1y) * (-5 + y)
(x(-5 + y) + -1y * (-5 + y)) = 0
((-5 * x + y * x) + -1y * (-5 + y)) = 0
((-5x + xy) + -1y * (-5 + y)) = 0
(-5x + xy + (-5 * -1y + y * -1y)) = 0
(-5x + xy + (5y + -1y2)) = 0
(-5x + xy + 5y + -1y2) = 0

Solving
-5x + xy + 5y + -1y2 = 0

Solving for variable 'x'.

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

Add '-5y' to each side of the equation.
-5x + xy + 5y + -5y + -1y2 = 0 + -5y

Combine like terms: 5y + -5y = 0
-5x + xy + 0 + -1y2 = 0 + -5y
-5x + xy + -1y2 = 0 + -5y
Remove the zero:
-5x + xy + -1y2 = -5y

Add 'y2' to each side of the equation.
-5x + xy + -1y2 + y2 = -5y + y2

Combine like terms: -1y2 + y2 = 0
-5x + xy + 0 = -5y + y2
-5x + xy = -5y + y2

Reorder the terms:
-5x + xy + 5y + -1y2 = -5y + 5y + y2 + -1y2

Combine like terms: -5y + 5y = 0
-5x + xy + 5y + -1y2 = 0 + y2 + -1y2
-5x + xy + 5y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-5x + xy + 5y + -1y2 = 0

The solution to this equation could not be determined.

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