What is the sum of all possible values of x such that 2x(x-10)=-50+x^2-30x?
the sum of all possible values of x
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\(2x(x-10)=-50+x^2-30x\\ 2x^2-20x+50-x^2+30x=0\\ x^2+10x+50=0\\ \color{blue}x\in \{-5-5i,-5+5i\}\)
The sum of all possible values of x is -10 .
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