(5+9i)+(8-i)=

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Solution for (5+9i)+(8-i)= equation:


Simplifying
(5 + 9i) + (8 + -1i) = 0

Remove parenthesis around (5 + 9i)
5 + 9i + (8 + -1i) = 0

Remove parenthesis around (8 + -1i)
5 + 9i + 8 + -1i = 0

Reorder the terms:
5 + 8 + 9i + -1i = 0

Combine like terms: 5 + 8 = 13
13 + 9i + -1i = 0

Combine like terms: 9i + -1i = 8i
13 + 8i = 0

Solving
13 + 8i = 0

Solving for variable 'i'.

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

Add '-13' to each side of the equation.
13 + -13 + 8i = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 8i = 0 + -13
8i = 0 + -13

Combine like terms: 0 + -13 = -13
8i = -13

Divide each side by '8'.
i = -1.625

Simplifying
i = -1.625

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