(8-4i)+(2+7i)=

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Solution for (8-4i)+(2+7i)= equation:


Simplifying
(8 + -4i) + (2 + 7i) = 0

Remove parenthesis around (8 + -4i)
8 + -4i + (2 + 7i) = 0

Remove parenthesis around (2 + 7i)
8 + -4i + 2 + 7i = 0

Reorder the terms:
8 + 2 + -4i + 7i = 0

Combine like terms: 8 + 2 = 10
10 + -4i + 7i = 0

Combine like terms: -4i + 7i = 3i
10 + 3i = 0

Solving
10 + 3i = 0

Solving for variable 'i'.

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

Add '-10' to each side of the equation.
10 + -10 + 3i = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3i = 0 + -10
3i = 0 + -10

Combine like terms: 0 + -10 = -10
3i = -10

Divide each side by '3'.
i = -3.333333333

Simplifying
i = -3.333333333

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