(7-6i)+(9+11i)=0

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Solution for (7-6i)+(9+11i)=0 equation:


Simplifying
(7 + -6i) + (9 + 11i) = 0

Remove parenthesis around (7 + -6i)
7 + -6i + (9 + 11i) = 0

Remove parenthesis around (9 + 11i)
7 + -6i + 9 + 11i = 0

Reorder the terms:
7 + 9 + -6i + 11i = 0

Combine like terms: 7 + 9 = 16
16 + -6i + 11i = 0

Combine like terms: -6i + 11i = 5i
16 + 5i = 0

Solving
16 + 5i = 0

Solving for variable 'i'.

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

Add '-16' to each side of the equation.
16 + -16 + 5i = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 5i = 0 + -16
5i = 0 + -16

Combine like terms: 0 + -16 = -16
5i = -16

Divide each side by '5'.
i = -3.2

Simplifying
i = -3.2

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