(9-6i)-(7+3i)=

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Solution for (9-6i)-(7+3i)= equation:


Simplifying
(9 + -6i) + -1(7 + 3i) = 0

Remove parenthesis around (9 + -6i)
9 + -6i + -1(7 + 3i) = 0
9 + -6i + (7 * -1 + 3i * -1) = 0
9 + -6i + (-7 + -3i) = 0

Reorder the terms:
9 + -7 + -6i + -3i = 0

Combine like terms: 9 + -7 = 2
2 + -6i + -3i = 0

Combine like terms: -6i + -3i = -9i
2 + -9i = 0

Solving
2 + -9i = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + -2 + -9i = 0 + -2

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

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

Divide each side by '-9'.
i = 0.2222222222

Simplifying
i = 0.2222222222

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