Z^3+3z^2+(3-z)z+(2-2z)=0

Solution for Z^3+3z^2+(3-z)z+(2-2z)=0 equation:

Simplifying
Z3 + 3z2 + (3 + -1z) * z + (2 + -2z) = 0

Reorder the terms for easier multiplication:
Z3 + 3z2 + z(3 + -1z) + (2 + -2z) = 0
Z3 + 3z2 + (3 * z + -1z * z) + (2 + -2z) = 0
Z3 + 3z2 + (3z + -1z2) + (2 + -2z) = 0

Remove parenthesis around (2 + -2z)
Z3 + 3z2 + 3z + -1z2 + 2 + -2z = 0

Reorder the terms:
2 + Z3 + 3z + -2z + 3z2 + -1z2 = 0

Combine like terms: 3z + -2z = 1z
2 + Z3 + 1z + 3z2 + -1z2 = 0

Combine like terms: 3z2 + -1z2 = 2z2
2 + Z3 + 1z + 2z2 = 0

Solving
2 + Z3 + 1z + 2z2 = 0

Solving for variable 'Z'.

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

Add '-2' to each side of the equation.
2 + Z3 + 1z + -2 + 2z2 = 0 + -2

Reorder the terms:
2 + -2 + Z3 + 1z + 2z2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + Z3 + 1z + 2z2 = 0 + -2
Z3 + 1z + 2z2 = 0 + -2

Combine like terms: 0 + -2 = -2
Z3 + 1z + 2z2 = -2

Add '-1z' to each side of the equation.
Z3 + 1z + -1z + 2z2 = -2 + -1z

Combine like terms: 1z + -1z = 0
Z3 + 0 + 2z2 = -2 + -1z
Z3 + 2z2 = -2 + -1z

Add '-2z2' to each side of the equation.
Z3 + 2z2 + -2z2 = -2 + -1z + -2z2

Combine like terms: 2z2 + -2z2 = 0
Z3 + 0 = -2 + -1z + -2z2
Z3 = -2 + -1z + -2z2

Simplifying
Z3 = -2 + -1z + -2z2

Reorder the terms:
2 + Z3 + z + 2z2 = -2 + -1z + -2z2 + 2 + z + 2z2

Reorder the terms:
2 + Z3 + z + 2z2 = -2 + 2 + -1z + z + -2z2 + 2z2

Combine like terms: -2 + 2 = 0
2 + Z3 + z + 2z2 = 0 + -1z + z + -2z2 + 2z2
2 + Z3 + z + 2z2 = -1z + z + -2z2 + 2z2

Combine like terms: -1z + z = 0
2 + Z3 + z + 2z2 = 0 + -2z2 + 2z2
2 + Z3 + z + 2z2 = -2z2 + 2z2

Combine like terms: -2z2 + 2z2 = 0
2 + Z3 + z + 2z2 = 0

The solution to this equation could not be determined.