Z^5+2z^4+2z^3+z^2=0

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Solution for Z^5+2z^4+2z^3+z^2=0 equation:


Simplifying
Z5 + 2z4 + 2z3 + z2 = 0

Reorder the terms:
Z5 + z2 + 2z3 + 2z4 = 0

Solving
Z5 + z2 + 2z3 + 2z4 = 0

Solving for variable 'Z'.

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

Add '-1z2' to each side of the equation.
Z5 + z2 + 2z3 + -1z2 + 2z4 = 0 + -1z2

Reorder the terms:
Z5 + z2 + -1z2 + 2z3 + 2z4 = 0 + -1z2

Combine like terms: z2 + -1z2 = 0
Z5 + 0 + 2z3 + 2z4 = 0 + -1z2
Z5 + 2z3 + 2z4 = 0 + -1z2
Remove the zero:
Z5 + 2z3 + 2z4 = -1z2

Add '-2z3' to each side of the equation.
Z5 + 2z3 + -2z3 + 2z4 = -1z2 + -2z3

Combine like terms: 2z3 + -2z3 = 0
Z5 + 0 + 2z4 = -1z2 + -2z3
Z5 + 2z4 = -1z2 + -2z3

Add '-2z4' to each side of the equation.
Z5 + 2z4 + -2z4 = -1z2 + -2z3 + -2z4

Combine like terms: 2z4 + -2z4 = 0
Z5 + 0 = -1z2 + -2z3 + -2z4
Z5 = -1z2 + -2z3 + -2z4

Simplifying
Z5 = -1z2 + -2z3 + -2z4

Reorder the terms:
Z5 + z2 + 2z3 + 2z4 = -1z2 + z2 + -2z3 + 2z3 + -2z4 + 2z4

Combine like terms: -1z2 + z2 = 0
Z5 + z2 + 2z3 + 2z4 = 0 + -2z3 + 2z3 + -2z4 + 2z4
Z5 + z2 + 2z3 + 2z4 = -2z3 + 2z3 + -2z4 + 2z4

Combine like terms: -2z3 + 2z3 = 0
Z5 + z2 + 2z3 + 2z4 = 0 + -2z4 + 2z4
Z5 + z2 + 2z3 + 2z4 = -2z4 + 2z4

Combine like terms: -2z4 + 2z4 = 0
Z5 + z2 + 2z3 + 2z4 = 0

The solution to this equation could not be determined.

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