(2-4i)+(3+7i)=

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Solution for (2-4i)+(3+7i)= equation:


Simplifying
(2 + -4i) + (3 + 7i) = 0

Remove parenthesis around (2 + -4i)
2 + -4i + (3 + 7i) = 0

Remove parenthesis around (3 + 7i)
2 + -4i + 3 + 7i = 0

Reorder the terms:
2 + 3 + -4i + 7i = 0

Combine like terms: 2 + 3 = 5
5 + -4i + 7i = 0

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

Solving
5 + 3i = 0

Solving for variable 'i'.

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

Add '-5' to each side of the equation.
5 + -5 + 3i = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3i = 0 + -5
3i = 0 + -5

Combine like terms: 0 + -5 = -5
3i = -5

Divide each side by '3'.
i = -1.666666667

Simplifying
i = -1.666666667

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