(10-8i)-(13-10i)=

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Solution for (10-8i)-(13-10i)= equation:


Simplifying
(10 + -8i) + -1(13 + -10i) = 0

Remove parenthesis around (10 + -8i)
10 + -8i + -1(13 + -10i) = 0
10 + -8i + (13 * -1 + -10i * -1) = 0
10 + -8i + (-13 + 10i) = 0

Reorder the terms:
10 + -13 + -8i + 10i = 0

Combine like terms: 10 + -13 = -3
-3 + -8i + 10i = 0

Combine like terms: -8i + 10i = 2i
-3 + 2i = 0

Solving
-3 + 2i = 0

Solving for variable 'i'.

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

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

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

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

Divide each side by '2'.
i = 1.5

Simplifying
i = 1.5

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