(6-9i)-(17-12i)=

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Solution for (6-9i)-(17-12i)= equation:


Simplifying
(6 + -9i) + -1(17 + -12i) = 0

Remove parenthesis around (6 + -9i)
6 + -9i + -1(17 + -12i) = 0
6 + -9i + (17 * -1 + -12i * -1) = 0
6 + -9i + (-17 + 12i) = 0

Reorder the terms:
6 + -17 + -9i + 12i = 0

Combine like terms: 6 + -17 = -11
-11 + -9i + 12i = 0

Combine like terms: -9i + 12i = 3i
-11 + 3i = 0

Solving
-11 + 3i = 0

Solving for variable 'i'.

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

Add '11' to each side of the equation.
-11 + 11 + 3i = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 3i = 0 + 11
3i = 0 + 11

Combine like terms: 0 + 11 = 11
3i = 11

Divide each side by '3'.
i = 3.666666667

Simplifying
i = 3.666666667

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