z^2-(3+5i)+8i-5=0

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Solution for z^2-(3+5i)+8i-5=0 equation: 


Simplifying
z2 + -1(3 + 5i) + 8i + -5 = 0
z2 + (3 * -1 + 5i * -1) + 8i + -5 = 0
z2 + (-3 + -5i) + 8i + -5 = 0

Reorder the terms:
-3 + -5 + -5i + 8i + z2 = 0

Combine like terms: -3 + -5 = -8
-8 + -5i + 8i + z2 = 0

Combine like terms: -5i + 8i = 3i
-8 + 3i + z2 = 0

Solving
-8 + 3i + z2 = 0

Solving for variable 'i'.

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

Add '8' to each side of the equation.
-8 + 3i + 8 + z2 = 0 + 8

Reorder the terms:
-8 + 8 + 3i + z2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3i + z2 = 0 + 8
3i + z2 = 0 + 8

Combine like terms: 0 + 8 = 8
3i + z2 = 8

Add '-1z2' to each side of the equation.
3i + z2 + -1z2 = 8 + -1z2

Combine like terms: z2 + -1z2 = 0
3i + 0 = 8 + -1z2
3i = 8 + -1z2

Divide each side by '3'.
i = 2.666666667 + -0.3333333333z2

Simplifying
i = 2.666666667 + -0.3333333333z2

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