Z^3-4z^2+z+6=0

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Solution for Z^3-4z^2+z+6=0 equation:


Simplifying
Z3 + -4z2 + z + 6 = 0

Reorder the terms:
6 + Z3 + z + -4z2 = 0

Solving
6 + Z3 + z + -4z2 = 0

Solving for variable 'Z'.

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

Add '-6' to each side of the equation.
6 + Z3 + z + -6 + -4z2 = 0 + -6

Reorder the terms:
6 + -6 + Z3 + z + -4z2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + Z3 + z + -4z2 = 0 + -6
Z3 + z + -4z2 = 0 + -6

Combine like terms: 0 + -6 = -6
Z3 + z + -4z2 = -6

Add '-1z' to each side of the equation.
Z3 + z + -1z + -4z2 = -6 + -1z

Combine like terms: z + -1z = 0
Z3 + 0 + -4z2 = -6 + -1z
Z3 + -4z2 = -6 + -1z

Add '4z2' to each side of the equation.
Z3 + -4z2 + 4z2 = -6 + -1z + 4z2

Combine like terms: -4z2 + 4z2 = 0
Z3 + 0 = -6 + -1z + 4z2
Z3 = -6 + -1z + 4z2

Simplifying
Z3 = -6 + -1z + 4z2

Reorder the terms:
6 + Z3 + z + -4z2 = -6 + -1z + 4z2 + 6 + z + -4z2

Reorder the terms:
6 + Z3 + z + -4z2 = -6 + 6 + -1z + z + 4z2 + -4z2

Combine like terms: -6 + 6 = 0
6 + Z3 + z + -4z2 = 0 + -1z + z + 4z2 + -4z2
6 + Z3 + z + -4z2 = -1z + z + 4z2 + -4z2

Combine like terms: -1z + z = 0
6 + Z3 + z + -4z2 = 0 + 4z2 + -4z2
6 + Z3 + z + -4z2 = 4z2 + -4z2

Combine like terms: 4z2 + -4z2 = 0
6 + Z3 + z + -4z2 = 0

The solution to this equation could not be determined.

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