(9-4i)-(17-6i)=

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Solution for (9-4i)-(17-6i)= equation:


Simplifying
(9 + -4i) + -1(17 + -6i) = 0

Remove parenthesis around (9 + -4i)
9 + -4i + -1(17 + -6i) = 0
9 + -4i + (17 * -1 + -6i * -1) = 0
9 + -4i + (-17 + 6i) = 0

Reorder the terms:
9 + -17 + -4i + 6i = 0

Combine like terms: 9 + -17 = -8
-8 + -4i + 6i = 0

Combine like terms: -4i + 6i = 2i
-8 + 2i = 0

Solving
-8 + 2i = 0

Solving for variable 'i'.

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

Add '8' to each side of the equation.
-8 + 8 + 2i = 0 + 8

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

Combine like terms: 0 + 8 = 8
2i = 8

Divide each side by '2'.
i = 4

Simplifying
i = 4

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