(4+5i)+(3+9i)=

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Solution for (4+5i)+(3+9i)= equation:


Simplifying
(4 + 5i) + (3 + 9i) = 0

Remove parenthesis around (4 + 5i)
4 + 5i + (3 + 9i) = 0

Remove parenthesis around (3 + 9i)
4 + 5i + 3 + 9i = 0

Reorder the terms:
4 + 3 + 5i + 9i = 0

Combine like terms: 4 + 3 = 7
7 + 5i + 9i = 0

Combine like terms: 5i + 9i = 14i
7 + 14i = 0

Solving
7 + 14i = 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 + 14i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 14i = 0 + -7
14i = 0 + -7

Combine like terms: 0 + -7 = -7
14i = -7

Divide each side by '14'.
i = -0.5

Simplifying
i = -0.5

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