(6+17i)-(18-9i)=0

Solution for (6+17i)-(18-9i)=0 equation:

Simplifying
(6 + 17i) + -1(18 + -9i) = 0

Remove parenthesis around (6 + 17i)
6 + 17i + -1(18 + -9i) = 0
6 + 17i + (18 * -1 + -9i * -1) = 0
6 + 17i + (-18 + 9i) = 0

Reorder the terms:
6 + -18 + 17i + 9i = 0

Combine like terms: 6 + -18 = -12
-12 + 17i + 9i = 0

Combine like terms: 17i + 9i = 26i
-12 + 26i = 0

Solving
-12 + 26i = 0

Solving for variable 'i'.

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

Add '12' to each side of the equation.
-12 + 12 + 26i = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 26i = 0 + 12
26i = 0 + 12

Combine like terms: 0 + 12 = 12
26i = 12

Divide each side by '26'.
i = 0.4615384615

Simplifying
i = 0.4615384615