(x-y)(x-y)(x-u)=

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Solution for (x-y)(x-y)(x-u)= equation: 


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

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

Multiply (x + -1y) * (x + -1y)
(x(x + -1y) + -1y * (x + -1y))(-1u + x) = 0
((x * x + -1y * x) + -1y * (x + -1y))(-1u + x) = 0

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

Reorder the terms:
(-1xy + -1xy + x2 + 1y2)(-1u + x) = 0

Combine like terms: -1xy + -1xy = -2xy
(-2xy + x2 + 1y2)(-1u + x) = 0

Multiply (-2xy + x2 + 1y2) * (-1u + x)
(-2xy * (-1u + x) + x2(-1u + x) + 1y2 * (-1u + x)) = 0
((-1u * -2xy + x * -2xy) + x2(-1u + x) + 1y2 * (-1u + x)) = 0
((2uxy + -2x2y) + x2(-1u + x) + 1y2 * (-1u + x)) = 0
(2uxy + -2x2y + (-1u * x2 + x * x2) + 1y2 * (-1u + x)) = 0
(2uxy + -2x2y + (-1ux2 + x3) + 1y2 * (-1u + x)) = 0
(2uxy + -2x2y + -1ux2 + x3 + (-1u * 1y2 + x * 1y2)) = 0
(2uxy + -2x2y + -1ux2 + x3 + (-1uy2 + 1xy2)) = 0

Reorder the terms:
(2uxy + -1ux2 + -1uy2 + 1xy2 + -2x2y + x3) = 0
(2uxy + -1ux2 + -1uy2 + 1xy2 + -2x2y + x3) = 0

Solving
2uxy + -1ux2 + -1uy2 + 1xy2 + -2x2y + x3 = 0

Solving for variable 'u'.

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

Add '-1xy2' to each side of the equation.
2uxy + -1ux2 + -1uy2 + 1xy2 + -2x2y + -1xy2 + x3 = 0 + -1xy2

Reorder the terms:
2uxy + -1ux2 + -1uy2 + 1xy2 + -1xy2 + -2x2y + x3 = 0 + -1xy2

Combine like terms: 1xy2 + -1xy2 = 0
2uxy + -1ux2 + -1uy2 + 0 + -2x2y + x3 = 0 + -1xy2
2uxy + -1ux2 + -1uy2 + -2x2y + x3 = 0 + -1xy2
Remove the zero:
2uxy + -1ux2 + -1uy2 + -2x2y + x3 = -1xy2

Add '2x2y' to each side of the equation.
2uxy + -1ux2 + -1uy2 + -2x2y + 2x2y + x3 = -1xy2 + 2x2y

Combine like terms: -2x2y + 2x2y = 0
2uxy + -1ux2 + -1uy2 + 0 + x3 = -1xy2 + 2x2y
2uxy + -1ux2 + -1uy2 + x3 = -1xy2 + 2x2y

Add '-1x3' to each side of the equation.
2uxy + -1ux2 + -1uy2 + x3 + -1x3 = -1xy2 + 2x2y + -1x3

Combine like terms: x3 + -1x3 = 0
2uxy + -1ux2 + -1uy2 + 0 = -1xy2 + 2x2y + -1x3
2uxy + -1ux2 + -1uy2 = -1xy2 + 2x2y + -1x3

Reorder the terms:
2uxy + -1ux2 + -1uy2 + xy2 + -2x2y + x3 = -1xy2 + xy2 + 2x2y + -2x2y + -1x3 + x3

Combine like terms: -1xy2 + xy2 = 0
2uxy + -1ux2 + -1uy2 + xy2 + -2x2y + x3 = 0 + 2x2y + -2x2y + -1x3 + x3
2uxy + -1ux2 + -1uy2 + xy2 + -2x2y + x3 = 2x2y + -2x2y + -1x3 + x3

Combine like terms: 2x2y + -2x2y = 0
2uxy + -1ux2 + -1uy2 + xy2 + -2x2y + x3 = 0 + -1x3 + x3
2uxy + -1ux2 + -1uy2 + xy2 + -2x2y + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
2uxy + -1ux2 + -1uy2 + xy2 + -2x2y + x3 = 0

The solution to this equation could not be determined.

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