(18-i)+(29+4i)=

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Solution for (18-i)+(29+4i)= equation:


Simplifying
(18 + -1i) + (29 + 4i) = 0

Remove parenthesis around (18 + -1i)
18 + -1i + (29 + 4i) = 0

Remove parenthesis around (29 + 4i)
18 + -1i + 29 + 4i = 0

Reorder the terms:
18 + 29 + -1i + 4i = 0

Combine like terms: 18 + 29 = 47
47 + -1i + 4i = 0

Combine like terms: -1i + 4i = 3i
47 + 3i = 0

Solving
47 + 3i = 0

Solving for variable 'i'.

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

Add '-47' to each side of the equation.
47 + -47 + 3i = 0 + -47

Combine like terms: 47 + -47 = 0
0 + 3i = 0 + -47
3i = 0 + -47

Combine like terms: 0 + -47 = -47
3i = -47

Divide each side by '3'.
i = -15.66666667

Simplifying
i = -15.66666667

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