(-9+3i)-(6-4i)=

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Solution for (-9+3i)-(6-4i)= equation:


Simplifying
(-9 + 3i) + -1(6 + -4i) = 0

Remove parenthesis around (-9 + 3i)
-9 + 3i + -1(6 + -4i) = 0
-9 + 3i + (6 * -1 + -4i * -1) = 0
-9 + 3i + (-6 + 4i) = 0

Reorder the terms:
-9 + -6 + 3i + 4i = 0

Combine like terms: -9 + -6 = -15
-15 + 3i + 4i = 0

Combine like terms: 3i + 4i = 7i
-15 + 7i = 0

Solving
-15 + 7i = 0

Solving for variable 'i'.

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

Add '15' to each side of the equation.
-15 + 15 + 7i = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 7i = 0 + 15
7i = 0 + 15

Combine like terms: 0 + 15 = 15
7i = 15

Divide each side by '7'.
i = 2.142857143

Simplifying
i = 2.142857143

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