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

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


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

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

Reorder the terms:
x((yz + y2) + -1z * (y + z)) + y(z + -1x) + z(x + -1y)(x + y) = 0
x((yz + y2) + -1z * (y + z)) + y(z + -1x) + z(x + -1y)(x + y) = 0
x(yz + y2 + (y * -1z + z * -1z)) + y(z + -1x) + z(x + -1y)(x + y) = 0
x(yz + y2 + (-1yz + -1z2)) + y(z + -1x) + z(x + -1y)(x + y) = 0

Reorder the terms:
x(yz + -1yz + y2 + -1z2) + y(z + -1x) + z(x + -1y)(x + y) = 0

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

Reorder the terms:
xy2 + -1xz2 + y(-1x + z) + z(x + -1y)(x + y) = 0
xy2 + -1xz2 + (-1x * y + z * y) + z(x + -1y)(x + y) = 0
xy2 + -1xz2 + (-1xy + yz) + z(x + -1y)(x + y) = 0

Multiply (x + -1y) * (x + y)
xy2 + -1xz2 + -1xy + yz + z(x(x + y) + -1y * (x + y)) = 0
xy2 + -1xz2 + -1xy + yz + z((x * x + y * x) + -1y * (x + y)) = 0

Reorder the terms:
xy2 + -1xz2 + -1xy + yz + z((xy + x2) + -1y * (x + y)) = 0
xy2 + -1xz2 + -1xy + yz + z((xy + x2) + -1y * (x + y)) = 0
xy2 + -1xz2 + -1xy + yz + z(xy + x2 + (x * -1y + y * -1y)) = 0
xy2 + -1xz2 + -1xy + yz + z(xy + x2 + (-1xy + -1y2)) = 0

Reorder the terms:
xy2 + -1xz2 + -1xy + yz + z(xy + -1xy + x2 + -1y2) = 0

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

Reorder the terms:
-1xy + xy2 + -1xz2 + x2z + yz + -1y2z = 0

Solving
-1xy + xy2 + -1xz2 + x2z + yz + -1y2z = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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