(10-8i)-(3-10i)=

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Solution for (10-8i)-(3-10i)= equation:


Simplifying
(10 + -8i) + -1(3 + -10i) = 0

Remove parenthesis around (10 + -8i)
10 + -8i + -1(3 + -10i) = 0
10 + -8i + (3 * -1 + -10i * -1) = 0
10 + -8i + (-3 + 10i) = 0

Reorder the terms:
10 + -3 + -8i + 10i = 0

Combine like terms: 10 + -3 = 7
7 + -8i + 10i = 0

Combine like terms: -8i + 10i = 2i
7 + 2i = 0

Solving
7 + 2i = 0

Solving for variable 'i'.

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

Add '-7' to each side of the equation.
7 + -7 + 2i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2i = 0 + -7
2i = 0 + -7

Combine like terms: 0 + -7 = -7
2i = -7

Divide each side by '2'.
i = -3.5

Simplifying
i = -3.5

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