x/(x^2+10x+21)-2/(x^2+9x+14)

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Solution for x/(x^2+10x+21)-2/(x^2+9x+14) equation: 


D( x )

x^2+10*x+21 = 0

x^2+9*x+14 = 0

x^2+10*x+21 = 0

x^2+10*x+21 = 0

x^2+10*x+21 = 0

DELTA = 10^2-(1*4*21)

DELTA = 16

DELTA > 0

x = (16^(1/2)-10)/(1*2) or x = (-16^(1/2)-10)/(1*2)

x = -3 or x = -7

x^2+9*x+14 = 0

x^2+9*x+14 = 0

x^2+9*x+14 = 0

DELTA = 9^2-(1*4*14)

DELTA = 25

DELTA > 0

x = (25^(1/2)-9)/(1*2) or x = (-25^(1/2)-9)/(1*2)

x = -2 or x = -7

x in (-oo:-7) U (-7:-3) U (-3:-2) U (-2:+oo)

x/(x^2+10*x+21)-(2/(x^2+9*x+14)) = 0

x/(x^2+10*x+21)-2*(x^2+9*x+14)^-1 = 0

x/(x^2+10*x+21)-2/(x^2+9*x+14) = 0

x^2+10*x+21 = 0

x^2+10*x+21 = 0

x^2+10*x+21 = 0

DELTA = 10^2-(1*4*21)

DELTA = 16

DELTA > 0

x = (16^(1/2)-10)/(1*2) or x = (-16^(1/2)-10)/(1*2)

x = -3 or x = -7

(x+7)*(x+3) = 0

x^2+9*x+14 = 0

x^2+9*x+14 = 0

x^2+9*x+14 = 0

DELTA = 9^2-(1*4*14)

DELTA = 25

DELTA > 0

x = (25^(1/2)-9)/(1*2) or x = (-25^(1/2)-9)/(1*2)

x = -2 or x = -7

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

x/((x+7)*(x+3))-2/((x+7)*(x+2)) = 0

x/((x+7)*(x+3))+(-2*(x+3))/((x+7)*(x+3)) = 0

x-2*(x+3) = 0

-x-6 = 0

(-x-6)/((x+7)*(x+3)) = 0

(-x-6)/((x+7)*(x+3)) = 0 // * (x+7)*(x+3)

-x-6 = 0

-x-6 = 0 // + 6

-x = 6 // * -1

x = -6

x = -6

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