(x+1)(y+z)=xyz

Solution for (x+1)(y+z)=xyz equation:

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

Reorder the terms:
(1 + x)(y + z) = xyz

Multiply (1 + x) * (y + z)
(1(y + z) + x(y + z)) = xyz
((y * 1 + z * 1) + x(y + z)) = xyz
((1y + 1z) + x(y + z)) = xyz
(1y + 1z + (y * x + z * x)) = xyz
(1y + 1z + (xy + xz)) = xyz

Reorder the terms:
(xy + xz + 1y + 1z) = xyz
(xy + xz + 1y + 1z) = xyz

Solving
xy + xz + 1y + 1z = xyz

Solving for variable 'x'.

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

Add '-1xyz' to each side of the equation.
xy + xz + 1y + -1xyz + 1z = xyz + -1xyz

Reorder the terms:
xy + -1xyz + xz + 1y + 1z = xyz + -1xyz

Combine like terms: xyz + -1xyz = 0
xy + -1xyz + xz + 1y + 1z = 0

Add '-1y' to each side of the equation.
xy + -1xyz + xz + 1y + -1y + 1z = 0 + -1y

Combine like terms: 1y + -1y = 0
xy + -1xyz + xz + 0 + 1z = 0 + -1y
xy + -1xyz + xz + 1z = 0 + -1y
Remove the zero:
xy + -1xyz + xz + 1z = -1y

Add '-1z' to each side of the equation.
xy + -1xyz + xz + 1z + -1z = -1y + -1z

Combine like terms: 1z + -1z = 0
xy + -1xyz + xz + 0 = -1y + -1z
xy + -1xyz + xz = -1y + -1z

Reorder the terms:
xy + -1xyz + xz + y + z = -1y + y + -1z + z

Combine like terms: -1y + y = 0
xy + -1xyz + xz + y + z = 0 + -1z + z
xy + -1xyz + xz + y + z = -1z + z

Combine like terms: -1z + z = 0
xy + -1xyz + xz + y + z = 0

The solution to this equation could not be determined.