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

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


Simplifying
(2 + -1i) + (3i + 2) = 0

Remove parenthesis around (2 + -1i)
2 + -1i + (3i + 2) = 0

Reorder the terms:
2 + -1i + (2 + 3i) = 0

Remove parenthesis around (2 + 3i)
2 + -1i + 2 + 3i = 0

Reorder the terms:
2 + 2 + -1i + 3i = 0

Combine like terms: 2 + 2 = 4
4 + -1i + 3i = 0

Combine like terms: -1i + 3i = 2i
4 + 2i = 0

Solving
4 + 2i = 0

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + -4 + 2i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 2i = 0 + -4
2i = 0 + -4

Combine like terms: 0 + -4 = -4
2i = -4

Divide each side by '2'.
i = -2

Simplifying
i = -2

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