x+6/(x+9)(x-7)+x+6/(x+9)(x-5)

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Solution for x+6/(x+9)(x-7)+x+6/(x+9)(x-5) equation:


D( x )

x+9 = 0

x+9 = 0

x+9 = 0

x+9 = 0 // - 9

x = -9

x in (-oo:-9) U (-9:+oo)

(6/(x+9))*(x-7)+(6/(x+9))*(x-5)+x+x = 0

(6*(x-7))/(x+9)+(6*(x-5))/(x+9)+x+x = 0

(6*(x-7))/(x+9)+(6*(x-5))/(x+9)+(x*(x+9))/(x+9)+(x*(x+9))/(x+9) = 0

6*(x-7)+6*(x-5)+x*(x+9)+x*(x+9) = 0

x^2+x^2+12*x+9*x+9*x-72 = 0

x^2+x^2+21*x+9*x-72 = 0

2*x^2+30*x-72 = 0

2*x^2+30*x-72 = 0

2*(x^2+15*x-36) = 0

x^2+15*x-36 = 0

DELTA = 15^2-(-36*1*4)

DELTA = 369

DELTA > 0

x = (369^(1/2)-15)/(1*2) or x = (-369^(1/2)-15)/(1*2)

x = (3*41^(1/2)-15)/2 or x = (-3*41^(1/2)-15)/2

2*(x-((-3*41^(1/2)-15)/2))*(x-((3*41^(1/2)-15)/2)) = 0

(2*(x-((-3*41^(1/2)-15)/2))*(x-((3*41^(1/2)-15)/2)))/(x+9) = 0

(2*(x-((-3*41^(1/2)-15)/2))*(x-((3*41^(1/2)-15)/2)))/(x+9) = 0 // * x+9

2*(x-((-3*41^(1/2)-15)/2))*(x-((3*41^(1/2)-15)/2)) = 0

( x-((-3*41^(1/2)-15)/2) )

x-((-3*41^(1/2)-15)/2) = 0 // + (-3*41^(1/2)-15)/2

x = (-3*41^(1/2)-15)/2

( x-((3*41^(1/2)-15)/2) )

x-((3*41^(1/2)-15)/2) = 0 // + (3*41^(1/2)-15)/2

x = (3*41^(1/2)-15)/2

x in { (-3*41^(1/2)-15)/2, (3*41^(1/2)-15)/2 }

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