(1+17i)+(12-4i)=

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Solution for (1+17i)+(12-4i)= equation:


Simplifying
(1 + 17i) + (12 + -4i) = 0

Remove parenthesis around (1 + 17i)
1 + 17i + (12 + -4i) = 0

Remove parenthesis around (12 + -4i)
1 + 17i + 12 + -4i = 0

Reorder the terms:
1 + 12 + 17i + -4i = 0

Combine like terms: 1 + 12 = 13
13 + 17i + -4i = 0

Combine like terms: 17i + -4i = 13i
13 + 13i = 0

Solving
13 + 13i = 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 + 13i = 0 + -13

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

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

Divide each side by '13'.
i = -1

Simplifying
i = -1

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