z^2-(3+2i)z-(7+17i)=0

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Solution for z^2-(3+2i)z-(7+17i)=0 equation:


Simplifying
z2 + -1(3 + 2i) * z + -1(7 + 17i) = 0

Reorder the terms for easier multiplication:
z2 + -1z(3 + 2i) + -1(7 + 17i) = 0
z2 + (3 * -1z + 2i * -1z) + -1(7 + 17i) = 0

Reorder the terms:
z2 + (-2iz + -3z) + -1(7 + 17i) = 0
z2 + (-2iz + -3z) + -1(7 + 17i) = 0
z2 + -2iz + -3z + (7 * -1 + 17i * -1) = 0
z2 + -2iz + -3z + (-7 + -17i) = 0

Reorder the terms:
-7 + -17i + -2iz + -3z + z2 = 0

Solving
-7 + -17i + -2iz + -3z + z2 = 0

Solving for variable 'i'.

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

Add '7' to each side of the equation.
-7 + -17i + -2iz + -3z + 7 + z2 = 0 + 7

Reorder the terms:
-7 + 7 + -17i + -2iz + -3z + z2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -17i + -2iz + -3z + z2 = 0 + 7
-17i + -2iz + -3z + z2 = 0 + 7

Combine like terms: 0 + 7 = 7
-17i + -2iz + -3z + z2 = 7

Add '3z' to each side of the equation.
-17i + -2iz + -3z + 3z + z2 = 7 + 3z

Combine like terms: -3z + 3z = 0
-17i + -2iz + 0 + z2 = 7 + 3z
-17i + -2iz + z2 = 7 + 3z

Add '-1z2' to each side of the equation.
-17i + -2iz + z2 + -1z2 = 7 + 3z + -1z2

Combine like terms: z2 + -1z2 = 0
-17i + -2iz + 0 = 7 + 3z + -1z2
-17i + -2iz = 7 + 3z + -1z2

Reorder the terms:
-7 + -17i + -2iz + -3z + z2 = 7 + 3z + -1z2 + -7 + -3z + z2

Reorder the terms:
-7 + -17i + -2iz + -3z + z2 = 7 + -7 + 3z + -3z + -1z2 + z2

Combine like terms: 7 + -7 = 0
-7 + -17i + -2iz + -3z + z2 = 0 + 3z + -3z + -1z2 + z2
-7 + -17i + -2iz + -3z + z2 = 3z + -3z + -1z2 + z2

Combine like terms: 3z + -3z = 0
-7 + -17i + -2iz + -3z + z2 = 0 + -1z2 + z2
-7 + -17i + -2iz + -3z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-7 + -17i + -2iz + -3z + z2 = 0

The solution to this equation could not be determined.

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