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

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


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

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

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

Combine like terms: 4 + -3 = 1
1 + 2i + -5i = 0

Combine like terms: 2i + -5i = -3i
1 + -3i = 0

Solving
1 + -3i = 0

Solving for variable 'i'.

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

Add '-1' to each side of the equation.
1 + -1 + -3i = 0 + -1

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

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

Divide each side by '-3'.
i = 0.3333333333

Simplifying
i = 0.3333333333

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