(8-2i)+(2-9i)=

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Solution for (8-2i)+(2-9i)= equation:


Simplifying
(8 + -2i) + (2 + -9i) = 0

Remove parenthesis around (8 + -2i)
8 + -2i + (2 + -9i) = 0

Remove parenthesis around (2 + -9i)
8 + -2i + 2 + -9i = 0

Reorder the terms:
8 + 2 + -2i + -9i = 0

Combine like terms: 8 + 2 = 10
10 + -2i + -9i = 0

Combine like terms: -2i + -9i = -11i
10 + -11i = 0

Solving
10 + -11i = 0

Solving for variable 'i'.

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

Add '-10' to each side of the equation.
10 + -10 + -11i = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -11i = 0 + -10
-11i = 0 + -10

Combine like terms: 0 + -10 = -10
-11i = -10

Divide each side by '-11'.
i = 0.9090909091

Simplifying
i = 0.9090909091

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