z^2+(3-2i)z+5+5i=0

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Solution for z^2+(3-2i)z+5+5i=0 equation: 


Simplifying
z2 + (3 + -2i) * z + 5 + 5i = 0

Reorder the terms for easier multiplication:
z2 + z(3 + -2i) + 5 + 5i = 0
z2 + (3 * z + -2i * z) + 5 + 5i = 0

Reorder the terms:
z2 + (-2iz + 3z) + 5 + 5i = 0
z2 + (-2iz + 3z) + 5 + 5i = 0

Reorder the terms:
5 + 5i + -2iz + 3z + z2 = 0

Solving
5 + 5i + -2iz + 3z + z2 = 0

Solving for variable 'i'.

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

Add '-5' to each side of the equation.
5 + 5i + -2iz + 3z + -5 + z2 = 0 + -5

Reorder the terms:
5 + -5 + 5i + -2iz + 3z + z2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 5i + -2iz + 3z + z2 = 0 + -5
5i + -2iz + 3z + z2 = 0 + -5

Combine like terms: 0 + -5 = -5
5i + -2iz + 3z + z2 = -5

Add '-3z' to each side of the equation.
5i + -2iz + 3z + -3z + z2 = -5 + -3z

Combine like terms: 3z + -3z = 0
5i + -2iz + 0 + z2 = -5 + -3z
5i + -2iz + z2 = -5 + -3z

Add '-1z2' to each side of the equation.
5i + -2iz + z2 + -1z2 = -5 + -3z + -1z2

Combine like terms: z2 + -1z2 = 0
5i + -2iz + 0 = -5 + -3z + -1z2
5i + -2iz = -5 + -3z + -1z2

Reorder the terms:
5 + 5i + -2iz + 3z + z2 = -5 + -3z + -1z2 + 5 + 3z + z2

Reorder the terms:
5 + 5i + -2iz + 3z + z2 = -5 + 5 + -3z + 3z + -1z2 + z2

Combine like terms: -5 + 5 = 0
5 + 5i + -2iz + 3z + z2 = 0 + -3z + 3z + -1z2 + z2
5 + 5i + -2iz + 3z + z2 = -3z + 3z + -1z2 + z2

Combine like terms: -3z + 3z = 0
5 + 5i + -2iz + 3z + z2 = 0 + -1z2 + z2
5 + 5i + -2iz + 3z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
5 + 5i + -2iz + 3z + z2 = 0

The solution to this equation could not be determined.

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