Z^2+(3i-7)z+22-7i=0

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Solution for Z^2+(3i-7)z+22-7i=0 equation: 


Simplifying
Z2 + (3i + -7) * z + 22 + -7i = 0

Reorder the terms:
Z2 + (-7 + 3i) * z + 22 + -7i = 0

Reorder the terms for easier multiplication:
Z2 + z(-7 + 3i) + 22 + -7i = 0
Z2 + (-7 * z + 3i * z) + 22 + -7i = 0

Reorder the terms:
Z2 + (3iz + -7z) + 22 + -7i = 0
Z2 + (3iz + -7z) + 22 + -7i = 0

Reorder the terms:
22 + Z2 + -7i + 3iz + -7z = 0

Solving
22 + Z2 + -7i + 3iz + -7z = 0

Solving for variable 'Z'.

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

Add '-22' to each side of the equation.
22 + Z2 + -7i + 3iz + -22 + -7z = 0 + -22

Reorder the terms:
22 + -22 + Z2 + -7i + 3iz + -7z = 0 + -22

Combine like terms: 22 + -22 = 0
0 + Z2 + -7i + 3iz + -7z = 0 + -22
Z2 + -7i + 3iz + -7z = 0 + -22

Combine like terms: 0 + -22 = -22
Z2 + -7i + 3iz + -7z = -22

Add '7i' to each side of the equation.
Z2 + -7i + 3iz + 7i + -7z = -22 + 7i

Reorder the terms:
Z2 + -7i + 7i + 3iz + -7z = -22 + 7i

Combine like terms: -7i + 7i = 0
Z2 + 0 + 3iz + -7z = -22 + 7i
Z2 + 3iz + -7z = -22 + 7i

Add '-3iz' to each side of the equation.
Z2 + 3iz + -3iz + -7z = -22 + 7i + -3iz

Combine like terms: 3iz + -3iz = 0
Z2 + 0 + -7z = -22 + 7i + -3iz
Z2 + -7z = -22 + 7i + -3iz

Add '7z' to each side of the equation.
Z2 + -7z + 7z = -22 + 7i + -3iz + 7z

Combine like terms: -7z + 7z = 0
Z2 + 0 = -22 + 7i + -3iz + 7z
Z2 = -22 + 7i + -3iz + 7z

Simplifying
Z2 = -22 + 7i + -3iz + 7z

Reorder the terms:
22 + Z2 + -7i + 3iz + -7z = -22 + 7i + -3iz + 7z + 22 + -7i + 3iz + -7z

Reorder the terms:
22 + Z2 + -7i + 3iz + -7z = -22 + 22 + 7i + -7i + -3iz + 3iz + 7z + -7z

Combine like terms: -22 + 22 = 0
22 + Z2 + -7i + 3iz + -7z = 0 + 7i + -7i + -3iz + 3iz + 7z + -7z
22 + Z2 + -7i + 3iz + -7z = 7i + -7i + -3iz + 3iz + 7z + -7z

Combine like terms: 7i + -7i = 0
22 + Z2 + -7i + 3iz + -7z = 0 + -3iz + 3iz + 7z + -7z
22 + Z2 + -7i + 3iz + -7z = -3iz + 3iz + 7z + -7z

Combine like terms: -3iz + 3iz = 0
22 + Z2 + -7i + 3iz + -7z = 0 + 7z + -7z
22 + Z2 + -7i + 3iz + -7z = 7z + -7z

Combine like terms: 7z + -7z = 0
22 + Z2 + -7i + 3iz + -7z = 0

The solution to this equation could not be determined.

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