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# Algebra

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What is the sum of all possible values of x such that 2x(x - 10) - x(x - 5) = -50?

Jul 26, 2021

#1
+13011
+1

Hallo Guest!

$$2x(x - 10) - x(x - 5) = -50\ |\ +50\\ 2x^2-20x-x^2+5x+50=0$$

$$x^2-15x+50=0$$

p           q

$$x=-\frac{p}{2}\pm\sqrt{(\frac{p}{2})^2-q}$$

$$x=7,5\pm\sqrt{56.25-50}\\ x=7.5\pm 2.5\\ x_1=5\\ x_2=10$$

$$\sum x=5+10=15$$

!

Jul 26, 2021
#2
+35247
+1

https://web2.0calc.com/questions/help-plz_42690#r1

Jul 26, 2021