(9+8i)+(8-9i)=

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Solution for (9+8i)+(8-9i)= equation:


Simplifying
(9 + 8i) + (8 + -9i) = 0

Remove parenthesis around (9 + 8i)
9 + 8i + (8 + -9i) = 0

Remove parenthesis around (8 + -9i)
9 + 8i + 8 + -9i = 0

Reorder the terms:
9 + 8 + 8i + -9i = 0

Combine like terms: 9 + 8 = 17
17 + 8i + -9i = 0

Combine like terms: 8i + -9i = -1i
17 + -1i = 0

Solving
17 + -1i = 0

Solving for variable 'i'.

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

Add '-17' to each side of the equation.
17 + -17 + -1i = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1i = 0 + -17
-1i = 0 + -17

Combine like terms: 0 + -17 = -17
-1i = -17

Divide each side by '-1'.
i = 17

Simplifying
i = 17

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