z^2+(3+i)z+8+i=0

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Solution for z^2+(3+i)z+8+i=0 equation: 


Simplifying
z2 + (3 + i) * z + 8 + i = 0

Reorder the terms for easier multiplication:
z2 + z(3 + i) + 8 + i = 0
z2 + (3 * z + i * z) + 8 + i = 0

Reorder the terms:
z2 + (iz + 3z) + 8 + i = 0
z2 + (iz + 3z) + 8 + i = 0

Reorder the terms:
8 + i + iz + 3z + z2 = 0

Solving
8 + i + iz + 3z + z2 = 0

Solving for variable 'i'.

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

Add '-8' to each side of the equation.
8 + i + iz + 3z + -8 + z2 = 0 + -8

Reorder the terms:
8 + -8 + i + iz + 3z + z2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + i + iz + 3z + z2 = 0 + -8
i + iz + 3z + z2 = 0 + -8

Combine like terms: 0 + -8 = -8
i + iz + 3z + z2 = -8

Add '-3z' to each side of the equation.
i + iz + 3z + -3z + z2 = -8 + -3z

Combine like terms: 3z + -3z = 0
i + iz + 0 + z2 = -8 + -3z
i + iz + z2 = -8 + -3z

Add '-1z2' to each side of the equation.
i + iz + z2 + -1z2 = -8 + -3z + -1z2

Combine like terms: z2 + -1z2 = 0
i + iz + 0 = -8 + -3z + -1z2
i + iz = -8 + -3z + -1z2

Reorder the terms:
8 + i + iz + 3z + z2 = -8 + -3z + -1z2 + 8 + 3z + z2

Reorder the terms:
8 + i + iz + 3z + z2 = -8 + 8 + -3z + 3z + -1z2 + z2

Combine like terms: -8 + 8 = 0
8 + i + iz + 3z + z2 = 0 + -3z + 3z + -1z2 + z2
8 + i + iz + 3z + z2 = -3z + 3z + -1z2 + z2

Combine like terms: -3z + 3z = 0
8 + i + iz + 3z + z2 = 0 + -1z2 + z2
8 + i + iz + 3z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
8 + i + iz + 3z + z2 = 0

The solution to this equation could not be determined.

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