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

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


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

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

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

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

Combine like terms: 9i + -4i = 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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