x(y-z)(y+z)+y(z-x)+z(x-y)(x+y)=(x+y)(y+z)(z+x)

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Solution for x(y-z)(y+z)+y(z-x)+z(x-y)(x+y)=(x+y)(y+z)(z+x) equation:

Simplifying
x(y + -1z)(y + z) + y(z + -1x) + z(x + -1y)(x + y) = (x + y)(y + z)(z + x)

Multiply (y + -1z) * (y + z)
x(y(y + z) + -1z * (y + z)) + y(z + -1x) + z(x + -1y)(x + y) = (x + y)(y + z)(z + x)
x((y * y + z * y) + -1z * (y + z)) + y(z + -1x) + z(x + -1y)(x + y) = (x + y)(y + z)(z + x)

Reorder the terms:
x((yz + y²) + -1z * (y + z)) + y(z + -1x) + z(x + -1y)(x + y) = (x + y)(y + z)(z + x)
x((yz + y²) + -1z * (y + z)) + y(z + -1x) + z(x + -1y)(x + y) = (x + y)(y + z)(z + x)
x(yz + y² + (y * -1z + z * -1z)) + y(z + -1x) + z(x + -1y)(x + y) = (x + y)(y + z)(z + x)
x(yz + y² + (-1yz + -1z²)) + y(z + -1x) + z(x + -1y)(x + y) = (x + y)(y + z)(z + x)

Reorder the terms:
x(yz + -1yz + y² + -1z²) + y(z + -1x) + z(x + -1y)(x + y) = (x + y)(y + z)(z + x)

Combine like terms: yz + -1yz = 0
x(0 + y² + -1z²) + y(z + -1x) + z(x + -1y)(x + y) = (x + y)(y + z)(z + x)
x(y² + -1z²) + y(z + -1x) + z(x + -1y)(x + y) = (x + y)(y + z)(z + x)
(y² * x + -1z² * x) + y(z + -1x) + z(x + -1y)(x + y) = (x + y)(y + z)(z + x)
(xy² + -1xz²) + y(z + -1x) + z(x + -1y)(x + y) = (x + y)(y + z)(z + x)

Reorder the terms:
xy² + -1xz² + y(-1x + z) + z(x + -1y)(x + y) = (x + y)(y + z)(z + x)
xy² + -1xz² + (-1x * y + z * y) + z(x + -1y)(x + y) = (x + y)(y + z)(z + x)
xy² + -1xz² + (-1xy + yz) + z(x + -1y)(x + y) = (x + y)(y + z)(z + x)

Multiply (x + -1y) * (x + y)
xy² + -1xz² + -1xy + yz + z(x(x + y) + -1y * (x + y)) = (x + y)(y + z)(z + x)
xy² + -1xz² + -1xy + yz + z((x * x + y * x) + -1y * (x + y)) = (x + y)(y + z)(z + x)

Reorder the terms:
xy² + -1xz² + -1xy + yz + z((xy + x²) + -1y * (x + y)) = (x + y)(y + z)(z + x)
xy² + -1xz² + -1xy + yz + z((xy + x²) + -1y * (x + y)) = (x + y)(y + z)(z + x)
xy² + -1xz² + -1xy + yz + z(xy + x² + (x * -1y + y * -1y)) = (x + y)(y + z)(z + x)
xy² + -1xz² + -1xy + yz + z(xy + x² + (-1xy + -1y²)) = (x + y)(y + z)(z + x)

Reorder the terms:
xy² + -1xz² + -1xy + yz + z(xy + -1xy + x² + -1y²) = (x + y)(y + z)(z + x)

Combine like terms: xy + -1xy = 0
xy² + -1xz² + -1xy + yz + z(0 + x² + -1y²) = (x + y)(y + z)(z + x)
xy² + -1xz² + -1xy + yz + z(x² + -1y²) = (x + y)(y + z)(z + x)
xy² + -1xz² + -1xy + yz + (x² * z + -1y² * z) = (x + y)(y + z)(z + x)
xy² + -1xz² + -1xy + yz + (x²z + -1y²z) = (x + y)(y + z)(z + x)

Reorder the terms:
-1xy + xy² + -1xz² + x²z + yz + -1y²z = (x + y)(y + z)(z + x)

Reorder the terms:
-1xy + xy² + -1xz² + x²z + yz + -1y²z = (x + y)(y + z)(x + z)

Multiply (x + y) * (y + z)
-1xy + xy² + -1xz² + x²z + yz + -1y²z = (x(y + z) + y(y + z))(x + z)
-1xy + xy² + -1xz² + x²z + yz + -1y²z = ((y * x + z * x) + y(y + z))(x + z)
-1xy + xy² + -1xz² + x²z + yz + -1y²z = ((xy + xz) + y(y + z))(x + z)
-1xy + xy² + -1xz² + x²z + yz + -1y²z = (xy + xz + (y * y + z * y))(x + z)

Reorder the terms:
-1xy + xy² + -1xz² + x²z + yz + -1y²z = (xy + xz + (yz + y²))(x + z)
-1xy + xy² + -1xz² + x²z + yz + -1y²z = (xy + xz + (yz + y²))(x + z)
-1xy + xy² + -1xz² + x²z + yz + -1y²z = (xy + xz + yz + y²)(x + z)

Multiply (xy + xz + yz + y²) * (x + z)
-1xy + xy² + -1xz² + x²z + yz + -1y²z = (xy(x + z) + xz(x + z) + yz(x + z) + y²(x + z))
-1xy + xy² + -1xz² + x²z + yz + -1y²z = ((x * xy + z * xy) + xz(x + z) + yz(x + z) + y²(x + z))

Reorder the terms:
-1xy + xy² + -1xz² + x²z + yz + -1y²z = ((xyz + x²y) + xz(x + z) + yz(x + z) + y²(x + z))
-1xy + xy² + -1xz² + x²z + yz + -1y²z = ((xyz + x²y) + xz(x + z) + yz(x + z) + y²(x + z))
-1xy + xy² + -1xz² + x²z + yz + -1y²z = (xyz + x²y + (x * xz + z * xz) + yz(x + z) + y²(x + z))

Reorder the terms:
-1xy + xy² + -1xz² + x²z + yz + -1y²z = (xyz + x²y + (xz² + x²z) + yz(x + z) + y²(x + z))
-1xy + xy² + -1xz² + x²z + yz + -1y²z = (xyz + x²y + (xz² + x²z) + yz(x + z) + y²(x + z))
-1xy + xy² + -1xz² + x²z + yz + -1y²z = (xyz + x²y + xz² + x²z + (x * yz + z * yz) + y²(x + z))
-1xy + xy² + -1xz² + x²z + yz + -1y²z = (xyz + x²y + xz² + x²z + (xyz + yz²) + y²(x + z))
-1xy + xy² + -1xz² + x²z + yz + -1y²z = (xyz + x²y + xz² + x²z + xyz + yz² + (x * y² + z * y²))
-1xy + xy² + -1xz² + x²z + yz + -1y²z = (xyz + x²y + xz² + x²z + xyz + yz² + (xy² + y²z))

Reorder the terms:
-1xy + xy² + -1xz² + x²z + yz + -1y²z = (xyz + xyz + xy² + xz² + x²y + x²z + yz² + y²z)

Combine like terms: xyz + xyz = 2xyz
-1xy + xy² + -1xz² + x²z + yz + -1y²z = (2xyz + xy² + xz² + x²y + x²z + yz² + y²z)

Add '-1xy²' to each side of the equation.
-1xy + xy² + -1xz² + x²z + yz + -1xy² + -1y²z = 2xyz + xy² + xz² + x²y + x²z + yz² + -1xy² + y²z

Reorder the terms:
-1xy + xy² + -1xy² + -1xz² + x²z + yz + -1y²z = 2xyz + xy² + xz² + x²y + x²z + yz² + -1xy² + y²z

Combine like terms: xy² + -1xy² = 0
-1xy + 0 + -1xz² + x²z + yz + -1y²z = 2xyz + xy² + xz² + x²y + x²z + yz² + -1xy² + y²z
-1xy + -1xz² + x²z + yz + -1y²z = 2xyz + xy² + xz² + x²y + x²z + yz² + -1xy² + y²z

Reorder the terms:
-1xy + -1xz² + x²z + yz + -1y²z = 2xyz + xy² + -1xy² + xz² + x²y + x²z + yz² + y²z

Combine like terms: xy² + -1xy² = 0
-1xy + -1xz² + x²z + yz + -1y²z = 2xyz + 0 + xz² + x²y + x²z + yz² + y²z
-1xy + -1xz² + x²z + yz + -1y²z = 2xyz + xz² + x²y + x²z + yz² + y²z

Add '-1x²z' to each side of the equation.
-1xy + -1xz² + x²z + yz + -1x²z + -1y²z = 2xyz + xz² + x²y + x²z + yz² + -1x²z + y²z

Reorder the terms:
-1xy + -1xz² + x²z + -1x²z + yz + -1y²z = 2xyz + xz² + x²y + x²z + yz² + -1x²z + y²z

Combine like terms: x²z + -1x²z = 0
-1xy + -1xz² + 0 + yz + -1y²z = 2xyz + xz² + x²y + x²z + yz² + -1x²z + y²z
-1xy + -1xz² + yz + -1y²z = 2xyz + xz² + x²y + x²z + yz² + -1x²z + y²z

Reorder the terms:
-1xy + -1xz² + yz + -1y²z = 2xyz + xz² + x²y + x²z + -1x²z + yz² + y²z

Combine like terms: x²z + -1x²z = 0
-1xy + -1xz² + yz + -1y²z = 2xyz + xz² + x²y + 0 + yz² + y²z
-1xy + -1xz² + yz + -1y²z = 2xyz + xz² + x²y + yz² + y²z

Solving
-1xy + -1xz² + yz + -1y²z = 2xyz + xz² + x²y + yz² + y²z

Solving for variable 'x'.

Reorder the terms:
-1xy + -2xyz + -1xz² + -1xz² + -1x²y + yz + -1yz² + -1y²z + -1y²z = 2xyz + xz² + x²y + yz² + y²z + -2xyz + -1xz² + -1x²y + -1yz² + -1y²z

Combine like terms: -1xz² + -1xz² = -2xz²
-1xy + -2xyz + -2xz² + -1x²y + yz + -1yz² + -1y²z + -1y²z = 2xyz + xz² + x²y + yz² + y²z + -2xyz + -1xz² + -1x²y + -1yz² + -1y²z

Combine like terms: -1y²z + -1y²z = -2y²z
-1xy + -2xyz + -2xz² + -1x²y + yz + -1yz² + -2y²z = 2xyz + xz² + x²y + yz² + y²z + -2xyz + -1xz² + -1x²y + -1yz² + -1y²z

Reorder the terms:
-1xy + -2xyz + -2xz² + -1x²y + yz + -1yz² + -2y²z = 2xyz + -2xyz + xz² + -1xz² + x²y + -1x²y + yz² + -1yz² + y²z + -1y²z

Combine like terms: 2xyz + -2xyz = 0
-1xy + -2xyz + -2xz² + -1x²y + yz + -1yz² + -2y²z = 0 + xz² + -1xz² + x²y + -1x²y + yz² + -1yz² + y²z + -1y²z
-1xy + -2xyz + -2xz² + -1x²y + yz + -1yz² + -2y²z = xz² + -1xz² + x²y + -1x²y + yz² + -1yz² + y²z + -1y²z

Combine like terms: xz² + -1xz² = 0
-1xy + -2xyz + -2xz² + -1x²y + yz + -1yz² + -2y²z = 0 + x²y + -1x²y + yz² + -1yz² + y²z + -1y²z
-1xy + -2xyz + -2xz² + -1x²y + yz + -1yz² + -2y²z = x²y + -1x²y + yz² + -1yz² + y²z + -1y²z

Combine like terms: x²y + -1x²y = 0
-1xy + -2xyz + -2xz² + -1x²y + yz + -1yz² + -2y²z = 0 + yz² + -1yz² + y²z + -1y²z
-1xy + -2xyz + -2xz² + -1x²y + yz + -1yz² + -2y²z = yz² + -1yz² + y²z + -1y²z

Combine like terms: yz² + -1yz² = 0
-1xy + -2xyz + -2xz² + -1x²y + yz + -1yz² + -2y²z = 0 + y²z + -1y²z
-1xy + -2xyz + -2xz² + -1x²y + yz + -1yz² + -2y²z = y²z + -1y²z

Combine like terms: y²z + -1y²z = 0
-1xy + -2xyz + -2xz² + -1x²y + yz + -1yz² + -2y²z = 0

The solution to this equation could not be determined.

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x(y-z)(y+z)+y(z-x)+z(x-y)(x+y)=(x+y)(y+z)(z+x)

Simple and best practice solution for x(y-z)(y+z)+y(z-x)+z(x-y)(x+y)=(x+y)(y+z)(z+x) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solution for x(y-z)(y+z)+y(z-x)+z(x-y)(x+y)=(x+y)(y+z)(z+x) equation:

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