2z^2-(3-3i)z-(2-9i)=0

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Solution for 2z^2-(3-3i)z-(2-9i)=0 equation: 


Simplifying
2z2 + -1(3 + -3i) * z + -1(2 + -9i) = 0

Reorder the terms for easier multiplication:
2z2 + -1z(3 + -3i) + -1(2 + -9i) = 0
2z2 + (3 * -1z + -3i * -1z) + -1(2 + -9i) = 0

Reorder the terms:
2z2 + (3iz + -3z) + -1(2 + -9i) = 0
2z2 + (3iz + -3z) + -1(2 + -9i) = 0
2z2 + 3iz + -3z + (2 * -1 + -9i * -1) = 0
2z2 + 3iz + -3z + (-2 + 9i) = 0

Reorder the terms:
-2 + 9i + 3iz + -3z + 2z2 = 0

Solving
-2 + 9i + 3iz + -3z + 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 + 9i + 3iz + -3z + 2 + 2z2 = 0 + 2

Reorder the terms:
-2 + 2 + 9i + 3iz + -3z + 2z2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 9i + 3iz + -3z + 2z2 = 0 + 2
9i + 3iz + -3z + 2z2 = 0 + 2

Combine like terms: 0 + 2 = 2
9i + 3iz + -3z + 2z2 = 2

Add '3z' to each side of the equation.
9i + 3iz + -3z + 3z + 2z2 = 2 + 3z

Combine like terms: -3z + 3z = 0
9i + 3iz + 0 + 2z2 = 2 + 3z
9i + 3iz + 2z2 = 2 + 3z

Add '-2z2' to each side of the equation.
9i + 3iz + 2z2 + -2z2 = 2 + 3z + -2z2

Combine like terms: 2z2 + -2z2 = 0
9i + 3iz + 0 = 2 + 3z + -2z2
9i + 3iz = 2 + 3z + -2z2

Reorder the terms:
-2 + 9i + 3iz + -3z + 2z2 = 2 + 3z + -2z2 + -2 + -3z + 2z2

Reorder the terms:
-2 + 9i + 3iz + -3z + 2z2 = 2 + -2 + 3z + -3z + -2z2 + 2z2

Combine like terms: 2 + -2 = 0
-2 + 9i + 3iz + -3z + 2z2 = 0 + 3z + -3z + -2z2 + 2z2
-2 + 9i + 3iz + -3z + 2z2 = 3z + -3z + -2z2 + 2z2

Combine like terms: 3z + -3z = 0
-2 + 9i + 3iz + -3z + 2z2 = 0 + -2z2 + 2z2
-2 + 9i + 3iz + -3z + 2z2 = -2z2 + 2z2

Combine like terms: -2z2 + 2z2 = 0
-2 + 9i + 3iz + -3z + 2z2 = 0

The solution to this equation could not be determined.

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