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

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


Simplifying
(2 + -3i) * z2 + -2iz + 2 + 4i = 0

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

Reorder the terms:
(-3iz2 + 2z2) + -2iz + 2 + 4i = 0
(-3iz2 + 2z2) + -2iz + 2 + 4i = 0

Reorder the terms:
2 + 4i + -2iz + -3iz2 + 2z2 = 0

Solving
2 + 4i + -2iz + -3iz2 + 2z2 = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + 4i + -2iz + -3iz2 + -2 + 2z2 = 0 + -2

Reorder the terms:
2 + -2 + 4i + -2iz + -3iz2 + 2z2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 4i + -2iz + -3iz2 + 2z2 = 0 + -2
4i + -2iz + -3iz2 + 2z2 = 0 + -2

Combine like terms: 0 + -2 = -2
4i + -2iz + -3iz2 + 2z2 = -2

Add '-2z2' to each side of the equation.
4i + -2iz + -3iz2 + 2z2 + -2z2 = -2 + -2z2

Combine like terms: 2z2 + -2z2 = 0
4i + -2iz + -3iz2 + 0 = -2 + -2z2
4i + -2iz + -3iz2 = -2 + -2z2

Reorder the terms:
2 + 4i + -2iz + -3iz2 + 2z2 = -2 + -2z2 + 2 + 2z2

Reorder the terms:
2 + 4i + -2iz + -3iz2 + 2z2 = -2 + 2 + -2z2 + 2z2

Combine like terms: -2 + 2 = 0
2 + 4i + -2iz + -3iz2 + 2z2 = 0 + -2z2 + 2z2
2 + 4i + -2iz + -3iz2 + 2z2 = -2z2 + 2z2

Combine like terms: -2z2 + 2z2 = 0
2 + 4i + -2iz + -3iz2 + 2z2 = 0

The solution to this equation could not be determined.

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