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(5-1i)+(3+5i)=0
We simplify the equation to the form, which is simple to understand
(5-1i)+(3+5i)=0
Remove unnecessary parentheses
5-1i+(3+5i)=0
Remove unnecessary parentheses
+5-1i+3+5i=0
We move all terms containing i to the left and all other terms to the right.
-1i+5i=0-5-3
We simplify left and right side of the equation.
+4i=-8
We divide both sides of the equation by 4 to get i.
i=-2
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