z^2-(3+4i)z+14+2i=0

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Solution for z^2-(3+4i)z+14+2i=0 equation: 


Simplifying
z2 + -1(3 + 4i) * z + 14 + 2i = 0

Reorder the terms for easier multiplication:
z2 + -1z(3 + 4i) + 14 + 2i = 0
z2 + (3 * -1z + 4i * -1z) + 14 + 2i = 0

Reorder the terms:
z2 + (-4iz + -3z) + 14 + 2i = 0
z2 + (-4iz + -3z) + 14 + 2i = 0

Reorder the terms:
14 + 2i + -4iz + -3z + z2 = 0

Solving
14 + 2i + -4iz + -3z + 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 + 2i + -4iz + -3z + -14 + z2 = 0 + -14

Reorder the terms:
14 + -14 + 2i + -4iz + -3z + z2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 2i + -4iz + -3z + z2 = 0 + -14
2i + -4iz + -3z + z2 = 0 + -14

Combine like terms: 0 + -14 = -14
2i + -4iz + -3z + z2 = -14

Add '3z' to each side of the equation.
2i + -4iz + -3z + 3z + z2 = -14 + 3z

Combine like terms: -3z + 3z = 0
2i + -4iz + 0 + z2 = -14 + 3z
2i + -4iz + z2 = -14 + 3z

Add '-1z2' to each side of the equation.
2i + -4iz + z2 + -1z2 = -14 + 3z + -1z2

Combine like terms: z2 + -1z2 = 0
2i + -4iz + 0 = -14 + 3z + -1z2
2i + -4iz = -14 + 3z + -1z2

Reorder the terms:
14 + 2i + -4iz + -3z + z2 = -14 + 3z + -1z2 + 14 + -3z + z2

Reorder the terms:
14 + 2i + -4iz + -3z + z2 = -14 + 14 + 3z + -3z + -1z2 + z2

Combine like terms: -14 + 14 = 0
14 + 2i + -4iz + -3z + z2 = 0 + 3z + -3z + -1z2 + z2
14 + 2i + -4iz + -3z + z2 = 3z + -3z + -1z2 + z2

Combine like terms: 3z + -3z = 0
14 + 2i + -4iz + -3z + z2 = 0 + -1z2 + z2
14 + 2i + -4iz + -3z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
14 + 2i + -4iz + -3z + z2 = 0

The solution to this equation could not be determined.

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