(4+2i)-(-1+i)=

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Solution for (4+2i)-(-1+i)= equation:


Simplifying
(4 + 2i) + -1(-1 + i) = 0

Remove parenthesis around (4 + 2i)
4 + 2i + -1(-1 + i) = 0
4 + 2i + (-1 * -1 + i * -1) = 0
4 + 2i + (1 + -1i) = 0

Reorder the terms:
4 + 1 + 2i + -1i = 0

Combine like terms: 4 + 1 = 5
5 + 2i + -1i = 0

Combine like terms: 2i + -1i = 1i
5 + 1i = 0

Solving
5 + 1i = 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 + 1i = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 1i = 0 + -5
1i = 0 + -5

Combine like terms: 0 + -5 = -5
1i = -5

Divide each side by '1'.
i = -5

Simplifying
i = -5

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