(x^2-y+z)(y^2-z+y)(x+y-z)=

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Solution for (x^2-y+z)(y^2-z+y)(x+y-z)= equation:


Simplifying
(x2 + -1y + z)(y2 + -1z + y)(x + y + -1z) = 0

Reorder the terms:
(x2 + -1y + z)(y + y2 + -1z)(x + y + -1z) = 0

Multiply (x2 + -1y + z) * (y + y2 + -1z)
(x2(y + y2 + -1z) + -1y * (y + y2 + -1z) + z(y + y2 + -1z))(x + y + -1z) = 0
((y * x2 + y2 * x2 + -1z * x2) + -1y * (y + y2 + -1z) + z(y + y2 + -1z))(x + y + -1z) = 0
((x2y + x2y2 + -1x2z) + -1y * (y + y2 + -1z) + z(y + y2 + -1z))(x + y + -1z) = 0
(x2y + x2y2 + -1x2z + (y * -1y + y2 * -1y + -1z * -1y) + z(y + y2 + -1z))(x + y + -1z) = 0

Reorder the terms:
(x2y + x2y2 + -1x2z + (1yz + -1y2 + -1y3) + z(y + y2 + -1z))(x + y + -1z) = 0
(x2y + x2y2 + -1x2z + (1yz + -1y2 + -1y3) + z(y + y2 + -1z))(x + y + -1z) = 0
(x2y + x2y2 + -1x2z + 1yz + -1y2 + -1y3 + (y * z + y2 * z + -1z * z))(x + y + -1z) = 0
(x2y + x2y2 + -1x2z + 1yz + -1y2 + -1y3 + (yz + y2z + -1z2))(x + y + -1z) = 0

Reorder the terms:
(x2y + x2y2 + -1x2z + 1yz + yz + -1y2 + y2z + -1y3 + -1z2)(x + y + -1z) = 0

Combine like terms: 1yz + yz = 2yz
(x2y + x2y2 + -1x2z + 2yz + -1y2 + y2z + -1y3 + -1z2)(x + y + -1z) = 0

Multiply (x2y + x2y2 + -1x2z + 2yz + -1y2 + y2z + -1y3 + -1z2) * (x + y + -1z)
(x2y(x + y + -1z) + x2y2(x + y + -1z) + -1x2z * (x + y + -1z) + 2yz * (x + y + -1z) + -1y2 * (x + y + -1z) + y2z(x + y + -1z) + -1y3 * (x + y + -1z) + -1z2 * (x + y + -1z)) = 0
((x * x2y + y * x2y + -1z * x2y) + x2y2(x + y + -1z) + -1x2z * (x + y + -1z) + 2yz * (x + y + -1z) + -1y2 * (x + y + -1z) + y2z(x + y + -1z) + -1y3 * (x + y + -1z) + -1z2 * (x + y + -1z)) = 0

Reorder the terms:
((-1x2yz + x2y2 + x3y) + x2y2(x + y + -1z) + -1x2z * (x + y + -1z) + 2yz * (x + y + -1z) + -1y2 * (x + y + -1z) + y2z(x + y + -1z) + -1y3 * (x + y + -1z) + -1z2 * (x + y + -1z)) = 0
((-1x2yz + x2y2 + x3y) + x2y2(x + y + -1z) + -1x2z * (x + y + -1z) + 2yz * (x + y + -1z) + -1y2 * (x + y + -1z) + y2z(x + y + -1z) + -1y3 * (x + y + -1z) + -1z2 * (x + y + -1z)) = 0
(-1x2yz + x2y2 + x3y + (x * x2y2 + y * x2y2 + -1z * x2y2) + -1x2z * (x + y + -1z) + 2yz * (x + y + -1z) + -1y2 * (x + y + -1z) + y2z(x + y + -1z) + -1y3 * (x + y + -1z) + -1z2 * (x + y + -1z)) = 0

Reorder the terms:
(-1x2yz + x2y2 + x3y + (-1x2y2z + x2y3 + x3y2) + -1x2z * (x + y + -1z) + 2yz * (x + y + -1z) + -1y2 * (x + y + -1z) + y2z(x + y + -1z) + -1y3 * (x + y + -1z) + -1z2 * (x + y + -1z)) = 0
(-1x2yz + x2y2 + x3y + (-1x2y2z + x2y3 + x3y2) + -1x2z * (x + y + -1z) + 2yz * (x + y + -1z) + -1y2 * (x + y + -1z) + y2z(x + y + -1z) + -1y3 * (x + y + -1z) + -1z2 * (x + y + -1z)) = 0
(-1x2yz + x2y2 + x3y + -1x2y2z + x2y3 + x3y2 + (x * -1x2z + y * -1x2z + -1z * -1x2z) + 2yz * (x + y + -1z) + -1y2 * (x + y + -1z) + y2z(x + y + -1z) + -1y3 * (x + y + -1z) + -1z2 * (x + y + -1z)) = 0

Reorder the terms:
(-1x2yz + x2y2 + x3y + -1x2y2z + x2y3 + x3y2 + (-1x2yz + 1x2z2 + -1x3z) + 2yz * (x + y + -1z) + -1y2 * (x + y + -1z) + y2z(x + y + -1z) + -1y3 * (x + y + -1z) + -1z2 * (x + y + -1z)) = 0
(-1x2yz + x2y2 + x3y + -1x2y2z + x2y3 + x3y2 + (-1x2yz + 1x2z2 + -1x3z) + 2yz * (x + y + -1z) + -1y2 * (x + y + -1z) + y2z(x + y + -1z) + -1y3 * (x + y + -1z) + -1z2 * (x + y + -1z)) = 0
(-1x2yz + x2y2 + x3y + -1x2y2z + x2y3 + x3y2 + -1x2yz + 1x2z2 + -1x3z + (x * 2yz + y * 2yz + -1z * 2yz) + -1y2 * (x + y + -1z) + y2z(x + y + -1z) + -1y3 * (x + y + -1z) + -1z2 * (x + y + -1z)) = 0

Reorder the terms:
(-1x2yz + x2y2 + x3y + -1x2y2z + x2y3 + x3y2 + -1x2yz + 1x2z2 + -1x3z + (2xyz + -2yz2 + 2y2z) + -1y2 * (x + y + -1z) + y2z(x + y + -1z) + -1y3 * (x + y + -1z) + -1z2 * (x + y + -1z)) = 0
(-1x2yz + x2y2 + x3y + -1x2y2z + x2y3 + x3y2 + -1x2yz + 1x2z2 + -1x3z + (2xyz + -2yz2 + 2y2z) + -1y2 * (x + y + -1z) + y2z(x + y + -1z) + -1y3 * (x + y + -1z) + -1z2 * (x + y + -1z)) = 0
(-1x2yz + x2y2 + x3y + -1x2y2z + x2y3 + x3y2 + -1x2yz + 1x2z2 + -1x3z + 2xyz + -2yz2 + 2y2z + (x * -1y2 + y * -1y2 + -1z * -1y2) + y2z(x + y + -1z) + -1y3 * (x + y + -1z) + -1z2 * (x + y + -1z)) = 0

Reorder the terms:
(-1x2yz + x2y2 + x3y + -1x2y2z + x2y3 + x3y2 + -1x2yz + 1x2z2 + -1x3z + 2xyz + -2yz2 + 2y2z + (-1xy2 + 1y2z + -1y3) + y2z(x + y + -1z) + -1y3 * (x + y + -1z) + -1z2 * (x + y + -1z)) = 0
(-1x2yz + x2y2 + x3y + -1x2y2z + x2y3 + x3y2 + -1x2yz + 1x2z2 + -1x3z + 2xyz + -2yz2 + 2y2z + (-1xy2 + 1y2z + -1y3) + y2z(x + y + -1z) + -1y3 * (x + y + -1z) + -1z2 * (x + y + -1z)) = 0
(-1x2yz + x2y2 + x3y + -1x2y2z + x2y3 + x3y2 + -1x2yz + 1x2z2 + -1x3z + 2xyz + -2yz2 + 2y2z + -1xy2 + 1y2z + -1y3 + (x * y2z + y * y2z + -1z * y2z) + -1y3 * (x + y + -1z) + -1z2 * (x + y + -1z)) = 0

Reorder the terms:
(-1x2yz + x2y2 + x3y + -1x2y2z + x2y3 + x3y2 + -1x2yz + 1x2z2 + -1x3z + 2xyz + -2yz2 + 2y2z + -1xy2 + 1y2z + -1y3 + (xy2z + -1y2z2 + y3z) + -1y3 * (x + y + -1z) + -1z2 * (x + y + -1z)) = 0
(-1x2yz + x2y2 + x3y + -1x2y2z + x2y3 + x3y2 + -1x2yz + 1x2z2 + -1x3z + 2xyz + -2yz2 + 2y2z + -1xy2 + 1y2z + -1y3 + (xy2z + -1y2z2 + y3z) + -1y3 * (x + y + -1z) + -1z2 * (x + y + -1z)) = 0
(-1x2yz + x2y2 + x3y + -1x2y2z + x2y3 + x3y2 + -1x2yz + 1x2z2 + -1x3z + 2xyz + -2yz2 + 2y2z + -1xy2 + 1y2z + -1y3 + xy2z + -1y2z2 + y3z + (x * -1y3 + y * -1y3 + -1z * -1y3) + -1z2 * (x + y + -1z)) = 0

Reorder the terms:
(-1x2yz + x2y2 + x3y + -1x2y2z + x2y3 + x3y2 + -1x2yz + 1x2z2 + -1x3z + 2xyz + -2yz2 + 2y2z + -1xy2 + 1y2z + -1y3 + xy2z + -1y2z2 + y3z + (-1xy3 + 1y3z + -1y4) + -1z2 * (x + y + -1z)) = 0
(-1x2yz + x2y2 + x3y + -1x2y2z + x2y3 + x3y2 + -1x2yz + 1x2z2 + -1x3z + 2xyz + -2yz2 + 2y2z + -1xy2 + 1y2z + -1y3 + xy2z + -1y2z2 + y3z + (-1xy3 + 1y3z + -1y4) + -1z2 * (x + y + -1z)) = 0
(-1x2yz + x2y2 + x3y + -1x2y2z + x2y3 + x3y2 + -1x2yz + 1x2z2 + -1x3z + 2xyz + -2yz2 + 2y2z + -1xy2 + 1y2z + -1y3 + xy2z + -1y2z2 + y3z + -1xy3 + 1y3z + -1y4 + (x * -1z2 + y * -1z2 + -1z * -1z2)) = 0
(-1x2yz + x2y2 + x3y + -1x2y2z + x2y3 + x3y2 + -1x2yz + 1x2z2 + -1x3z + 2xyz + -2yz2 + 2y2z + -1xy2 + 1y2z + -1y3 + xy2z + -1y2z2 + y3z + -1xy3 + 1y3z + -1y4 + (-1xz2 + -1yz2 + 1z3)) = 0

Reorder the terms:
(2xyz + -1xy2 + xy2z + -1xy3 + -1xz2 + -1x2yz + -1x2yz + x2y2 + -1x2y2z + x2y3 + 1x2z2 + x3y + x3y2 + -1x3z + -2yz2 + -1yz2 + 2y2z + 1y2z + -1y2z2 + -1y3 + y3z + 1y3z + -1y4 + 1z3) = 0

Combine like terms: -1x2yz + -1x2yz = -2x2yz
(2xyz + -1xy2 + xy2z + -1xy3 + -1xz2 + -2x2yz + x2y2 + -1x2y2z + x2y3 + 1x2z2 + x3y + x3y2 + -1x3z + -2yz2 + -1yz2 + 2y2z + 1y2z + -1y2z2 + -1y3 + y3z + 1y3z + -1y4 + 1z3) = 0

Combine like terms: -2yz2 + -1yz2 = -3yz2
(2xyz + -1xy2 + xy2z + -1xy3 + -1xz2 + -2x2yz + x2y2 + -1x2y2z + x2y3 + 1x2z2 + x3y + x3y2 + -1x3z + -3yz2 + 2y2z + 1y2z + -1y2z2 + -1y3 + y3z + 1y3z + -1y4 + 1z3) = 0

Combine like terms: 2y2z + 1y2z = 3y2z
(2xyz + -1xy2 + xy2z + -1xy3 + -1xz2 + -2x2yz + x2y2 + -1x2y2z + x2y3 + 1x2z2 + x3y + x3y2 + -1x3z + -3yz2 + 3y2z + -1y2z2 + -1y3 + y3z + 1y3z + -1y4 + 1z3) = 0

Combine like terms: y3z + 1y3z = 2y3z
(2xyz + -1xy2 + xy2z + -1xy3 + -1xz2 + -2x2yz + x2y2 + -1x2y2z + x2y3 + 1x2z2 + x3y + x3y2 + -1x3z + -3yz2 + 3y2z + -1y2z2 + -1y3 + 2y3z + -1y4 + 1z3) = 0

Solving
2xyz + -1xy2 + xy2z + -1xy3 + -1xz2 + -2x2yz + x2y2 + -1x2y2z + x2y3 + 1x2z2 + x3y + x3y2 + -1x3z + -3yz2 + 3y2z + -1y2z2 + -1y3 + 2y3z + -1y4 + 1z3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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