Z^2+4z-i+4=0

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


Simplifying
Z2 + 4z + -1i + 4 = 0

Reorder the terms:
4 + Z2 + -1i + 4z = 0

Solving
4 + Z2 + -1i + 4z = 0

Solving for variable 'Z'.

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

Add '-4' to each side of the equation.
4 + Z2 + -1i + -4 + 4z = 0 + -4

Reorder the terms:
4 + -4 + Z2 + -1i + 4z = 0 + -4

Combine like terms: 4 + -4 = 0
0 + Z2 + -1i + 4z = 0 + -4
Z2 + -1i + 4z = 0 + -4

Combine like terms: 0 + -4 = -4
Z2 + -1i + 4z = -4

Add 'i' to each side of the equation.
Z2 + -1i + i + 4z = -4 + i

Combine like terms: -1i + i = 0
Z2 + 0 + 4z = -4 + i
Z2 + 4z = -4 + i

Add '-4z' to each side of the equation.
Z2 + 4z + -4z = -4 + i + -4z

Combine like terms: 4z + -4z = 0
Z2 + 0 = -4 + i + -4z
Z2 = -4 + i + -4z

Simplifying
Z2 = -4 + i + -4z

Reorder the terms:
4 + Z2 + -1i + 4z = -4 + i + -4z + 4 + -1i + 4z

Reorder the terms:
4 + Z2 + -1i + 4z = -4 + 4 + i + -1i + -4z + 4z

Combine like terms: -4 + 4 = 0
4 + Z2 + -1i + 4z = 0 + i + -1i + -4z + 4z
4 + Z2 + -1i + 4z = i + -1i + -4z + 4z

Combine like terms: i + -1i = 0
4 + Z2 + -1i + 4z = 0 + -4z + 4z
4 + Z2 + -1i + 4z = -4z + 4z

Combine like terms: -4z + 4z = 0
4 + Z2 + -1i + 4z = 0

The solution to this equation could not be determined.

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