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# Algebra

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What is the sum of all possible values of x such that 2x(x - 10) = -50 + 2x?

Sep 7, 2021

#1
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Eleven

Sep 7, 2021
#2
+117735
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2x(x - 10) = -50 + 2x

$$2x(x - 10) = -50 + 2x\\ 2x^2-20x-2x+50=0\\ 2x^2-22x+50=0\\ 1x^2-11x+25=0\\ x=\frac{11\pm\sqrt{121-100}}{2}\\ \text{sum of the roots =}11$$

Sep 13, 2021
edited by Melody  Sep 13, 2021