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

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


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

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

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

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

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

Solving for variable 'i'.

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

Add '-1' to each side of the equation.
1 + i + -2iz + -4z + -1 + 4z2 = 0 + -1

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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