Z^2-(3+2i)z+6i=0

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Solution for Z^2-(3+2i)z+6i=0 equation: 


Simplifying
Z2 + -1(3 + 2i) * z + 6i = 0

Reorder the terms for easier multiplication:
Z2 + -1z(3 + 2i) + 6i = 0
Z2 + (3 * -1z + 2i * -1z) + 6i = 0

Reorder the terms:
Z2 + (-2iz + -3z) + 6i = 0
Z2 + (-2iz + -3z) + 6i = 0

Reorder the terms:
Z2 + 6i + -2iz + -3z = 0

Solving
Z2 + 6i + -2iz + -3z = 0

Solving for variable 'Z'.

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

Add '-6i' to each side of the equation.
Z2 + 6i + -2iz + -6i + -3z = 0 + -6i

Reorder the terms:
Z2 + 6i + -6i + -2iz + -3z = 0 + -6i

Combine like terms: 6i + -6i = 0
Z2 + 0 + -2iz + -3z = 0 + -6i
Z2 + -2iz + -3z = 0 + -6i
Remove the zero:
Z2 + -2iz + -3z = -6i

Add '2iz' to each side of the equation.
Z2 + -2iz + 2iz + -3z = -6i + 2iz

Combine like terms: -2iz + 2iz = 0
Z2 + 0 + -3z = -6i + 2iz
Z2 + -3z = -6i + 2iz

Add '3z' to each side of the equation.
Z2 + -3z + 3z = -6i + 2iz + 3z

Combine like terms: -3z + 3z = 0
Z2 + 0 = -6i + 2iz + 3z
Z2 = -6i + 2iz + 3z

Simplifying
Z2 = -6i + 2iz + 3z

Reorder the terms:
Z2 + 6i + -2iz + -3z = -6i + 6i + 2iz + -2iz + 3z + -3z

Combine like terms: -6i + 6i = 0
Z2 + 6i + -2iz + -3z = 0 + 2iz + -2iz + 3z + -3z
Z2 + 6i + -2iz + -3z = 2iz + -2iz + 3z + -3z

Combine like terms: 2iz + -2iz = 0
Z2 + 6i + -2iz + -3z = 0 + 3z + -3z
Z2 + 6i + -2iz + -3z = 3z + -3z

Combine like terms: 3z + -3z = 0
Z2 + 6i + -2iz + -3z = 0

The solution to this equation could not be determined.

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