(5+6i)+(2-3i)=

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Solution for (5+6i)+(2-3i)= equation:


Simplifying
(5 + 6i) + (2 + -3i) = 0

Remove parenthesis around (5 + 6i)
5 + 6i + (2 + -3i) = 0

Remove parenthesis around (2 + -3i)
5 + 6i + 2 + -3i = 0

Reorder the terms:
5 + 2 + 6i + -3i = 0

Combine like terms: 5 + 2 = 7
7 + 6i + -3i = 0

Combine like terms: 6i + -3i = 3i
7 + 3i = 0

Solving
7 + 3i = 0

Solving for variable 'i'.

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

Add '-7' to each side of the equation.
7 + -7 + 3i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3i = 0 + -7
3i = 0 + -7

Combine like terms: 0 + -7 = -7
3i = -7

Divide each side by '3'.
i = -2.333333333

Simplifying
i = -2.333333333

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