(x-y)*(x-z)*(x-t)=

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Solution for (x-y)*(x-z)*(x-t)= equation:


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

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

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

Reorder the terms:
((-1xz + x2) + -1y * (x + -1z))(-1t + x) = 0
((-1xz + x2) + -1y * (x + -1z))(-1t + x) = 0
(-1xz + x2 + (x * -1y + -1z * -1y))(-1t + x) = 0
(-1xz + x2 + (-1xy + 1yz))(-1t + x) = 0

Reorder the terms:
(-1xy + -1xz + x2 + 1yz)(-1t + x) = 0
(-1xy + -1xz + x2 + 1yz)(-1t + x) = 0

Multiply (-1xy + -1xz + x2 + 1yz) * (-1t + x)
(-1xy * (-1t + x) + -1xz * (-1t + x) + x2(-1t + x) + 1yz * (-1t + x)) = 0
((-1t * -1xy + x * -1xy) + -1xz * (-1t + x) + x2(-1t + x) + 1yz * (-1t + x)) = 0
((1txy + -1x2y) + -1xz * (-1t + x) + x2(-1t + x) + 1yz * (-1t + x)) = 0
(1txy + -1x2y + (-1t * -1xz + x * -1xz) + x2(-1t + x) + 1yz * (-1t + x)) = 0
(1txy + -1x2y + (1txz + -1x2z) + x2(-1t + x) + 1yz * (-1t + x)) = 0
(1txy + -1x2y + 1txz + -1x2z + (-1t * x2 + x * x2) + 1yz * (-1t + x)) = 0
(1txy + -1x2y + 1txz + -1x2z + (-1tx2 + x3) + 1yz * (-1t + x)) = 0
(1txy + -1x2y + 1txz + -1x2z + -1tx2 + x3 + (-1t * 1yz + x * 1yz)) = 0
(1txy + -1x2y + 1txz + -1x2z + -1tx2 + x3 + (-1tyz + 1xyz)) = 0

Reorder the terms:
(1txy + 1txz + -1tx2 + -1tyz + 1xyz + -1x2y + -1x2z + x3) = 0
(1txy + 1txz + -1tx2 + -1tyz + 1xyz + -1x2y + -1x2z + x3) = 0

Solving
1txy + 1txz + -1tx2 + -1tyz + 1xyz + -1x2y + -1x2z + x3 = 0

Solving for variable 't'.

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

Add '-1xyz' to each side of the equation.
1txy + 1txz + -1tx2 + -1tyz + 1xyz + -1x2y + -1x2z + -1xyz + x3 = 0 + -1xyz

Reorder the terms:
1txy + 1txz + -1tx2 + -1tyz + 1xyz + -1xyz + -1x2y + -1x2z + x3 = 0 + -1xyz

Combine like terms: 1xyz + -1xyz = 0
1txy + 1txz + -1tx2 + -1tyz + 0 + -1x2y + -1x2z + x3 = 0 + -1xyz
1txy + 1txz + -1tx2 + -1tyz + -1x2y + -1x2z + x3 = 0 + -1xyz
Remove the zero:
1txy + 1txz + -1tx2 + -1tyz + -1x2y + -1x2z + x3 = -1xyz

Add 'x2y' to each side of the equation.
1txy + 1txz + -1tx2 + -1tyz + -1x2y + -1x2z + x2y + x3 = -1xyz + x2y

Reorder the terms:
1txy + 1txz + -1tx2 + -1tyz + -1x2y + x2y + -1x2z + x3 = -1xyz + x2y

Combine like terms: -1x2y + x2y = 0
1txy + 1txz + -1tx2 + -1tyz + 0 + -1x2z + x3 = -1xyz + x2y
1txy + 1txz + -1tx2 + -1tyz + -1x2z + x3 = -1xyz + x2y

Add 'x2z' to each side of the equation.
1txy + 1txz + -1tx2 + -1tyz + -1x2z + x2z + x3 = -1xyz + x2y + x2z

Combine like terms: -1x2z + x2z = 0
1txy + 1txz + -1tx2 + -1tyz + 0 + x3 = -1xyz + x2y + x2z
1txy + 1txz + -1tx2 + -1tyz + x3 = -1xyz + x2y + x2z

Add '-1x3' to each side of the equation.
1txy + 1txz + -1tx2 + -1tyz + x3 + -1x3 = -1xyz + x2y + x2z + -1x3

Combine like terms: x3 + -1x3 = 0
1txy + 1txz + -1tx2 + -1tyz + 0 = -1xyz + x2y + x2z + -1x3
1txy + 1txz + -1tx2 + -1tyz = -1xyz + x2y + x2z + -1x3

Reorder the terms:
1txy + 1txz + -1tx2 + -1tyz + xyz + -1x2y + -1x2z + x3 = -1xyz + xyz + x2y + -1x2y + x2z + -1x2z + -1x3 + x3

Combine like terms: -1xyz + xyz = 0
1txy + 1txz + -1tx2 + -1tyz + xyz + -1x2y + -1x2z + x3 = 0 + x2y + -1x2y + x2z + -1x2z + -1x3 + x3
1txy + 1txz + -1tx2 + -1tyz + xyz + -1x2y + -1x2z + x3 = x2y + -1x2y + x2z + -1x2z + -1x3 + x3

Combine like terms: x2y + -1x2y = 0
1txy + 1txz + -1tx2 + -1tyz + xyz + -1x2y + -1x2z + x3 = 0 + x2z + -1x2z + -1x3 + x3
1txy + 1txz + -1tx2 + -1tyz + xyz + -1x2y + -1x2z + x3 = x2z + -1x2z + -1x3 + x3

Combine like terms: x2z + -1x2z = 0
1txy + 1txz + -1tx2 + -1tyz + xyz + -1x2y + -1x2z + x3 = 0 + -1x3 + x3
1txy + 1txz + -1tx2 + -1tyz + xyz + -1x2y + -1x2z + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
1txy + 1txz + -1tx2 + -1tyz + xyz + -1x2y + -1x2z + x3 = 0

The solution to this equation could not be determined.

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