(5+2i)+(-3+i)=

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Solution for (5+2i)+(-3+i)= equation:


Simplifying
(5 + 2i) + (-3 + i) = 0

Remove parenthesis around (5 + 2i)
5 + 2i + (-3 + i) = 0

Remove parenthesis around (-3 + i)
5 + 2i + -3 + i = 0

Reorder the terms:
5 + -3 + 2i + i = 0

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

Combine like terms: 2i + i = 3i
2 + 3i = 0

Solving
2 + 3i = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + -2 + 3i = 0 + -2

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

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

Divide each side by '3'.
i = -0.6666666667

Simplifying
i = -0.6666666667

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