z^2+(7+i)z+(14+5i)=0

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Solution for z^2+(7+i)z+(14+5i)=0 equation: 


Simplifying
z2 + (7 + i) * z + (14 + 5i) = 0

Reorder the terms for easier multiplication:
z2 + z(7 + i) + (14 + 5i) = 0
z2 + (7 * z + i * z) + (14 + 5i) = 0

Reorder the terms:
z2 + (iz + 7z) + (14 + 5i) = 0
z2 + (iz + 7z) + (14 + 5i) = 0

Remove parenthesis around (14 + 5i)
z2 + iz + 7z + 14 + 5i = 0

Reorder the terms:
14 + 5i + iz + 7z + z2 = 0

Solving
14 + 5i + iz + 7z + z2 = 0

Solving for variable 'i'.

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

Add '-14' to each side of the equation.
14 + 5i + iz + 7z + -14 + z2 = 0 + -14

Reorder the terms:
14 + -14 + 5i + iz + 7z + z2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 5i + iz + 7z + z2 = 0 + -14
5i + iz + 7z + z2 = 0 + -14

Combine like terms: 0 + -14 = -14
5i + iz + 7z + z2 = -14

Add '-7z' to each side of the equation.
5i + iz + 7z + -7z + z2 = -14 + -7z

Combine like terms: 7z + -7z = 0
5i + iz + 0 + z2 = -14 + -7z
5i + iz + z2 = -14 + -7z

Add '-1z2' to each side of the equation.
5i + iz + z2 + -1z2 = -14 + -7z + -1z2

Combine like terms: z2 + -1z2 = 0
5i + iz + 0 = -14 + -7z + -1z2
5i + iz = -14 + -7z + -1z2

Reorder the terms:
14 + 5i + iz + 7z + z2 = -14 + -7z + -1z2 + 14 + 7z + z2

Reorder the terms:
14 + 5i + iz + 7z + z2 = -14 + 14 + -7z + 7z + -1z2 + z2

Combine like terms: -14 + 14 = 0
14 + 5i + iz + 7z + z2 = 0 + -7z + 7z + -1z2 + z2
14 + 5i + iz + 7z + z2 = -7z + 7z + -1z2 + z2

Combine like terms: -7z + 7z = 0
14 + 5i + iz + 7z + z2 = 0 + -1z2 + z2
14 + 5i + iz + 7z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
14 + 5i + iz + 7z + z2 = 0

The solution to this equation could not be determined.

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