2*i*z^2+(6+2*i)*z+(3-6*i)=0

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Solution for 2*i*z^2+(6+2*i)*z+(3-6*i)=0 equation:


Simplifying
2i * z2 + (6 + 2i) * z + (3 + -6i) = 0

Multiply i * z2
2iz2 + (6 + 2i) * z + (3 + -6i) = 0

Reorder the terms for easier multiplication:
2iz2 + z(6 + 2i) + (3 + -6i) = 0
2iz2 + (6 * z + 2i * z) + (3 + -6i) = 0

Reorder the terms:
2iz2 + (2iz + 6z) + (3 + -6i) = 0
2iz2 + (2iz + 6z) + (3 + -6i) = 0

Remove parenthesis around (3 + -6i)
2iz2 + 2iz + 6z + 3 + -6i = 0

Reorder the terms:
3 + -6i + 2iz + 2iz2 + 6z = 0

Solving
3 + -6i + 2iz + 2iz2 + 6z = 0

Solving for variable 'i'.

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

Add '-3' to each side of the equation.
3 + -6i + 2iz + 2iz2 + -3 + 6z = 0 + -3

Reorder the terms:
3 + -3 + -6i + 2iz + 2iz2 + 6z = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -6i + 2iz + 2iz2 + 6z = 0 + -3
-6i + 2iz + 2iz2 + 6z = 0 + -3

Combine like terms: 0 + -3 = -3
-6i + 2iz + 2iz2 + 6z = -3

Add '-6z' to each side of the equation.
-6i + 2iz + 2iz2 + 6z + -6z = -3 + -6z

Combine like terms: 6z + -6z = 0
-6i + 2iz + 2iz2 + 0 = -3 + -6z
-6i + 2iz + 2iz2 = -3 + -6z

Reorder the terms:
3 + -6i + 2iz + 2iz2 + 6z = -3 + -6z + 3 + 6z

Reorder the terms:
3 + -6i + 2iz + 2iz2 + 6z = -3 + 3 + -6z + 6z

Combine like terms: -3 + 3 = 0
3 + -6i + 2iz + 2iz2 + 6z = 0 + -6z + 6z
3 + -6i + 2iz + 2iz2 + 6z = -6z + 6z

Combine like terms: -6z + 6z = 0
3 + -6i + 2iz + 2iz2 + 6z = 0

The solution to this equation could not be determined.

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