Z^2+2z+3i=0

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


Simplifying
Z2 + 2z + 3i = 0

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

Solving
Z2 + 3i + 2z = 0

Solving for variable 'Z'.

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

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

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

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

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

Simplifying
Z2 = -3i + -2z

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

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

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

The solution to this equation could not be determined.

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