2z^2+(4i-1)z-(8+i)=0

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Solution for 2z^2+(4i-1)z-(8+i)=0 equation: 


Simplifying
2z2 + (4i + -1) * z + -1(8 + i) = 0

Reorder the terms:
2z2 + (-1 + 4i) * z + -1(8 + i) = 0

Reorder the terms for easier multiplication:
2z2 + z(-1 + 4i) + -1(8 + i) = 0
2z2 + (-1 * z + 4i * z) + -1(8 + i) = 0

Reorder the terms:
2z2 + (4iz + -1z) + -1(8 + i) = 0
2z2 + (4iz + -1z) + -1(8 + i) = 0
2z2 + 4iz + -1z + (8 * -1 + i * -1) = 0
2z2 + 4iz + -1z + (-8 + -1i) = 0

Reorder the terms:
-8 + -1i + 4iz + -1z + 2z2 = 0

Solving
-8 + -1i + 4iz + -1z + 2z2 = 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 + -1i + 4iz + -1z + 8 + 2z2 = 0 + 8

Reorder the terms:
-8 + 8 + -1i + 4iz + -1z + 2z2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1i + 4iz + -1z + 2z2 = 0 + 8
-1i + 4iz + -1z + 2z2 = 0 + 8

Combine like terms: 0 + 8 = 8
-1i + 4iz + -1z + 2z2 = 8

Add 'z' to each side of the equation.
-1i + 4iz + -1z + z + 2z2 = 8 + z

Combine like terms: -1z + z = 0
-1i + 4iz + 0 + 2z2 = 8 + z
-1i + 4iz + 2z2 = 8 + z

Add '-2z2' to each side of the equation.
-1i + 4iz + 2z2 + -2z2 = 8 + z + -2z2

Combine like terms: 2z2 + -2z2 = 0
-1i + 4iz + 0 = 8 + z + -2z2
-1i + 4iz = 8 + z + -2z2

Reorder the terms:
-8 + -1i + 4iz + -1z + 2z2 = 8 + z + -2z2 + -8 + -1z + 2z2

Reorder the terms:
-8 + -1i + 4iz + -1z + 2z2 = 8 + -8 + z + -1z + -2z2 + 2z2

Combine like terms: 8 + -8 = 0
-8 + -1i + 4iz + -1z + 2z2 = 0 + z + -1z + -2z2 + 2z2
-8 + -1i + 4iz + -1z + 2z2 = z + -1z + -2z2 + 2z2

Combine like terms: z + -1z = 0
-8 + -1i + 4iz + -1z + 2z2 = 0 + -2z2 + 2z2
-8 + -1i + 4iz + -1z + 2z2 = -2z2 + 2z2

Combine like terms: -2z2 + 2z2 = 0
-8 + -1i + 4iz + -1z + 2z2 = 0

The solution to this equation could not be determined.

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