(x-21)/11=(-11)/(x+1)

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Solution for (x-21)/11=(-11)/(x+1) equation: 


D( x )

x+1 = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x in (-oo:-1) U (-1:+oo)

(x-21)/11 = -11/(x+1) // + -11/(x+1)

(x-21)/11-(-11/(x+1)) = 0

(x-21)/11+11*(x+1)^-1 = 0

(x-21)/11+11/(x+1) = 0

((x-21)*(x+1))/(11*(x+1))+(11^2)/(11*(x+1)) = 0

(x-21)*(x+1)+121 = 0

x^2-20*x+100 = 0

x^2-20*x+100 = 0

x^2-20*x+100 = 0

DELTA = (-20)^2-(1*4*100)

DELTA = 0

x = 20/(1*2)

x = 10 or x = 10

(x-10)^2 = 0

((x-10)^2)/(11*(x+1)) = 0

((x-10)^2)/(11*(x+1)) = 0 // * 11*(x+1)

(x-10)^2 = 0

x-10 = 0 // + 10

x = 10

x in { 10, 10 }

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