(8+2i)-(9-7i)=

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Solution for (8+2i)-(9-7i)= equation:


Simplifying
(8 + 2i) + -1(9 + -7i) = 0

Remove parenthesis around (8 + 2i)
8 + 2i + -1(9 + -7i) = 0
8 + 2i + (9 * -1 + -7i * -1) = 0
8 + 2i + (-9 + 7i) = 0

Reorder the terms:
8 + -9 + 2i + 7i = 0

Combine like terms: 8 + -9 = -1
-1 + 2i + 7i = 0

Combine like terms: 2i + 7i = 9i
-1 + 9i = 0

Solving
-1 + 9i = 0

Solving for variable 'i'.

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

Add '1' to each side of the equation.
-1 + 1 + 9i = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 9i = 0 + 1
9i = 0 + 1

Combine like terms: 0 + 1 = 1
9i = 1

Divide each side by '9'.
i = 0.1111111111

Simplifying
i = 0.1111111111

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