(1/(x+2))-(5/(x+7))=(9/(x^2+5x-14))

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Solution for (1/(x+2))-(5/(x+7))=(9/(x^2+5x-14)) equation: 


D( x )

x+7 = 0

x+2 = 0

x^2+5*x-14 = 0

x+7 = 0

x+7 = 0

x+7 = 0 // - 7

x = -7

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x^2+5*x-14 = 0

x^2+5*x-14 = 0

x^2+5*x-14 = 0

DELTA = 5^2-(-14*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)-5)/(1*2) or x = (-81^(1/2)-5)/(1*2)

x = 2 or x = -7

x in (-oo:-7) U (-7:-2) U (-2:2) U (2:+oo)

1/(x+2)-(5/(x+7)) = 9/(x^2+5*x-14) // - 9/(x^2+5*x-14)

1/(x+2)-(5/(x+7))-(9/(x^2+5*x-14)) = 0

1/(x+2)-5*(x+7)^-1-9*(x^2+5*x-14)^-1 = 0

1/(x+2)-5/(x+7)-9/(x^2+5*x-14) = 0

x^2+5*x-14 = 0

x^2+5*x-14 = 0

x^2+5*x-14 = 0

DELTA = 5^2-(-14*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)-5)/(1*2) or x = (-81^(1/2)-5)/(1*2)

x = 2 or x = -7

(x+7)*(x-2) = 0

1/(x+2)-5/(x+7)-9/((x+7)*(x-2)) = 0

(1*(x+7))/((x+2)*(x+7))+(-5*(x+2))/((x+2)*(x+7))+(-9*(x+2))/((x+2)*(x+7)) = 0

1*(x+7)-5*(x+2)-9*(x+2) = 0

-4*x-9*x-18-3 = 0

-13*x-21 = 0

(-13*x-21)/((x+2)*(x+7)) = 0

(-13*x-21)/((x+2)*(x+7)) = 0 // * (x+2)*(x+7)

-13*x-21 = 0

-13*x-21 = 0 // + 21

-13*x = 21 // : -13

x = 21/(-13)

x = -21/13

x = -21/13

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