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

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


Simplifying
(5 + 3i) + -1(-3 + i) = 0

Remove parenthesis around (5 + 3i)
5 + 3i + -1(-3 + i) = 0
5 + 3i + (-3 * -1 + i * -1) = 0
5 + 3i + (3 + -1i) = 0

Reorder the terms:
5 + 3 + 3i + -1i = 0

Combine like terms: 5 + 3 = 8
8 + 3i + -1i = 0

Combine like terms: 3i + -1i = 2i
8 + 2i = 0

Solving
8 + 2i = 0

Solving for variable 'i'.

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

Add '-8' to each side of the equation.
8 + -8 + 2i = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 2i = 0 + -8
2i = 0 + -8

Combine like terms: 0 + -8 = -8
2i = -8

Divide each side by '2'.
i = -4

Simplifying
i = -4

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