Z^2+4z=-12+6i

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Solution for Z^2+4z=-12+6i equation: 


Simplifying
Z2 + 4z = -12 + 6i

Solving
Z2 + 4z = -12 + 6i

Solving for variable 'Z'.

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

Add '-4z' to each side of the equation.
Z2 + 4z + -4z = -12 + 6i + -4z

Combine like terms: 4z + -4z = 0
Z2 + 0 = -12 + 6i + -4z
Z2 = -12 + 6i + -4z

Simplifying
Z2 = -12 + 6i + -4z

Reorder the terms:
12 + Z2 + -6i + 4z = -12 + 6i + -4z + 12 + -6i + 4z

Reorder the terms:
12 + Z2 + -6i + 4z = -12 + 12 + 6i + -6i + -4z + 4z

Combine like terms: -12 + 12 = 0
12 + Z2 + -6i + 4z = 0 + 6i + -6i + -4z + 4z
12 + Z2 + -6i + 4z = 6i + -6i + -4z + 4z

Combine like terms: 6i + -6i = 0
12 + Z2 + -6i + 4z = 0 + -4z + 4z
12 + Z2 + -6i + 4z = -4z + 4z

Combine like terms: -4z + 4z = 0
12 + Z2 + -6i + 4z = 0

The solution to this equation could not be determined.

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