(5+2i)-(-3+4i)=

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Solution for (5+2i)-(-3+4i)= equation:


Simplifying
(5 + 2i) + -1(-3 + 4i) = 0

Remove parenthesis around (5 + 2i)
5 + 2i + -1(-3 + 4i) = 0
5 + 2i + (-3 * -1 + 4i * -1) = 0
5 + 2i + (3 + -4i) = 0

Reorder the terms:
5 + 3 + 2i + -4i = 0

Combine like terms: 5 + 3 = 8
8 + 2i + -4i = 0

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