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(5+3i)-(2-9i)=0
We simplify the equation to the form, which is simple to understand
(5+3i)-(2-9i)=0
Remove unnecessary parentheses
5+3i-(2-9i)=0
Remove unnecessary parentheses
5+3i-2+9i=0
We move all terms containing i to the left and all other terms to the right.
+3i+9i=0-5+2
We simplify left and right side of the equation.
+12i=-3
We divide both sides of the equation by 12 to get i.
i=-0.25
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