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49+7i=7(1+4i)
We move all terms to the left:
49+7i-(7(1+4i))=0
We add all the numbers together, and all the variables
7i-(7(4i+1))+49=0
We calculate terms in parentheses: -(7(4i+1)), so:We get rid of parentheses
7(4i+1)
We multiply parentheses
28i+7
Back to the equation:
-(28i+7)
7i-28i-7+49=0
We add all the numbers together, and all the variables
-21i+42=0
We move all terms containing i to the left, all other terms to the right
-21i=-42
i=-42/-21
i=+2
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