(1+x)/2*x=20*x

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Solution for (1+x)/2*x=20*x equation: 


x in (-oo:+oo)

x*((x+1)/2) = 20*x // - 20*x

x*((x+1)/2)-(20*x) = 0

x*((x+1)/2)-20*x = 0

(x*(x+1))/2-20*x = 0

(x*(x+1))/2+(-20*2*x)/2 = 0

x*(x+1)-20*2*x = 0

x^2-39*x = 0

x^2-39*x = 0

x*(x-39) = 0

x-39 = 0 // + 39

x = 39

x*(x-39) = 0

(x*(x-39))/2 = 0

(x*(x-39))/2 = 0 // * 2

x*(x-39) = 0

( x-39 )

x-39 = 0 // + 39

x = 39

( x )

x = 0

x in { 39, 0 }

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