(-5)/(x-7)=((-6)/(x-14))-((-35)/(x-7)(x-14))

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Solution for (-5)/(x-7)=((-6)/(x-14))-((-35)/(x-7)(x-14)) equation: 


D( x )

x-7 = 0

x-14 = 0

x-7 = 0

x-7 = 0

x-7 = 0 // + 7

x = 7

x-14 = 0

x-14 = 0

x-14 = 0 // + 14

x = 14

x in (-oo:7) U (7:14) U (14:+oo)

-5/(x-7) = -6/(x-14)-((-35/(x-7))*(x-14)) // + -6/(x-14)-((-35/(x-7))*(x-14))

(-35/(x-7))*(x-14)-5/(x-7)-(-6/(x-14)) = 0

6*(x-14)^-1-5/(x-7)+(-35/(x-7))*(x-14) = 0

6/(x-14)-5/(x-7)+(-35*(x-14))/(x-7) = 0

(-5*(x-14))/((x-7)*(x-14))+(6*(x-7))/((x-7)*(x-14))+(-35*(x-14)^2)/((x-7)*(x-14)) = 0

6*(x-7)-5*(x-14)-35*(x-14)^2 = 0

x-35*x^2+980*x-6860+28 = 0

981*x-35*x^2-6832 = 0

981*x-35*x^2-6832 = 0

981*x-35*x^2-6832 = 0

DELTA = 981^2-(-6832*(-35)*4)

DELTA = 5881

DELTA > 0

x = (5881^(1/2)-981)/(-35*2) or x = (-5881^(1/2)-981)/(-35*2)

x = (5881^(1/2)-981)/(-70) or x = (5881^(1/2)+981)/70

(x-((5881^(1/2)-981)/(-70)))*(x-((5881^(1/2)+981)/70)) = 0

((x-((5881^(1/2)-981)/(-70)))*(x-((5881^(1/2)+981)/70)))/((x-7)*(x-14)) = 0

((x-((5881^(1/2)-981)/(-70)))*(x-((5881^(1/2)+981)/70)))/((x-7)*(x-14)) = 0 // * (x-7)*(x-14)

(x-((5881^(1/2)-981)/(-70)))*(x-((5881^(1/2)+981)/70)) = 0

( x-((5881^(1/2)+981)/70) )

x-((5881^(1/2)+981)/70) = 0 // + (5881^(1/2)+981)/70

x = (5881^(1/2)+981)/70

( x-((5881^(1/2)-981)/(-70)) )

x-((5881^(1/2)-981)/(-70)) = 0 // + (5881^(1/2)-981)/(-70)

x = (5881^(1/2)-981)/(-70)

x in { (5881^(1/2)+981)/70, (5881^(1/2)-981)/(-70) }

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