(-5-x)/(x^2-2x-35)=-1/4

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Solution for (-5-x)/(x^2-2x-35)=-1/4 equation: 


D( x )

x^2-(2*x)-35 = 0

x^2-(2*x)-35 = 0

x^2-(2*x)-35 = 0

x^2-2*x-35 = 0

x^2-2*x-35 = 0

DELTA = (-2)^2-(-35*1*4)

DELTA = 144

DELTA > 0

x = (144^(1/2)+2)/(1*2) or x = (2-144^(1/2))/(1*2)

x = 7 or x = -5

x in (-oo:-5) U (-5:7) U (7:+oo)

(-x-5)/(x^2-(2*x)-35) = -1/4 // + -1/4

(-x-5)/(x^2-(2*x)-35)-(-1/4) = 0

(-x-5)/(x^2-2*x-35)+1/4 = 0

x^2-2*x-35 = 0

x^2-2*x-35 = 0

x^2-2*x-35 = 0

DELTA = (-2)^2-(-35*1*4)

DELTA = 144

DELTA > 0

x = (144^(1/2)+2)/(1*2) or x = (2-144^(1/2))/(1*2)

x = 7 or x = -5

(x+5)*(x-7) = 0

(-x-5)/((x+5)*(x-7))+1/4 = 0

(4*(-x-5))/(4*(x+5)*(x-7))+(1*(x+5)*(x-7))/(4*(x+5)*(x-7)) = 0

4*(-x-5)+1*(x+5)*(x-7) = 0

x^2-6*x-55 = 0

x^2-6*x-55 = 0

x^2-6*x-55 = 0

DELTA = (-6)^2-(-55*1*4)

DELTA = 256

DELTA > 0

x = (256^(1/2)+6)/(1*2) or x = (6-256^(1/2))/(1*2)

x = 11 or x = -5

(x+5)*(x-11) = 0

((x+5)*(x-11))/(4*(x+5)*(x-7)) = 0

((x+5)*(x-11))/(4*(x+5)*(x-7)) = 0 // * 4*(x+5)*(x-7)

(x+5)*(x-11) = 0

( x+5 )

x+5 = 0 // - 5

x = -5

( x-11 )

x-11 = 0 // + 11

x = 11

x in { -5} 

x = 11

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