(3+2i)-(7-i)=

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Solution for (3+2i)-(7-i)= equation:


Simplifying
(3 + 2i) + -1(7 + -1i) = 0

Remove parenthesis around (3 + 2i)
3 + 2i + -1(7 + -1i) = 0
3 + 2i + (7 * -1 + -1i * -1) = 0
3 + 2i + (-7 + 1i) = 0

Reorder the terms:
3 + -7 + 2i + 1i = 0

Combine like terms: 3 + -7 = -4
-4 + 2i + 1i = 0

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

Solving
-4 + 3i = 0

Solving for variable 'i'.

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

Add '4' to each side of the equation.
-4 + 4 + 3i = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3i = 0 + 4
3i = 0 + 4

Combine like terms: 0 + 4 = 4
3i = 4

Divide each side by '3'.
i = 1.333333333

Simplifying
i = 1.333333333

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