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

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


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

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

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

Remove parenthesis around (5 + -5i)
3z2 + 3iz + 2z + 5 + -5i = 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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