(3-4i)-(8-9i)=

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Solution for (3-4i)-(8-9i)= equation:


Simplifying
(3 + -4i) + -1(8 + -9i) = 0

Remove parenthesis around (3 + -4i)
3 + -4i + -1(8 + -9i) = 0
3 + -4i + (8 * -1 + -9i * -1) = 0
3 + -4i + (-8 + 9i) = 0

Reorder the terms:
3 + -8 + -4i + 9i = 0

Combine like terms: 3 + -8 = -5
-5 + -4i + 9i = 0

Combine like terms: -4i + 9i = 5i
-5 + 5i = 0

Solving
-5 + 5i = 0

Solving for variable 'i'.

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

Add '5' to each side of the equation.
-5 + 5 + 5i = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 5i = 0 + 5
5i = 0 + 5

Combine like terms: 0 + 5 = 5
5i = 5

Divide each side by '5'.
i = 1

Simplifying
i = 1

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