x=10+(20x/(x+20))

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Solution for x=10+(20x/(x+20)) equation:


D( x )

x+20 = 0

x+20 = 0

x+20 = 0

x+20 = 0 // - 20

x = -20

x in (-oo:-20) U (-20:+oo)

x = (20*x)/(x+20)+10 // - (20*x)/(x+20)+10

x-((20*x)/(x+20))-10 = 0

x-20*x*(x+20)^-1-10 = 0

(-20*x)/(x+20)+x-10 = 0

(-20*x)/(x+20)+(x*(x+20))/(x+20)+(-10*(x+20))/(x+20) = 0

x*(x+20)-10*(x+20)-20*x = 0

x^2-10*x-200 = 0

x^2-10*x-200 = 0

x^2-10*x-200 = 0

DELTA = (-10)^2-(-200*1*4)

DELTA = 900

DELTA > 0

x = (900^(1/2)+10)/(1*2) or x = (10-900^(1/2))/(1*2)

x = 20 or x = -10

(x+10)*(x-20) = 0

((x+10)*(x-20))/(x+20) = 0

((x+10)*(x-20))/(x+20) = 0 // * x+20

(x+10)*(x-20) = 0

( x+10 )

x+10 = 0 // - 10

x = -10

( x-20 )

x-20 = 0 // + 20

x = 20

x in { -10, 20 }

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