2/(x+18)-3/(x-18)=5x/(x^2-324)

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Solution for 2/(x+18)-3/(x-18)=5x/(x^2-324) equation:


D( x )

x-18 = 0

x+18 = 0

x^2-324 = 0

x-18 = 0

x-18 = 0

x-18 = 0 // + 18

x = 18

x+18 = 0

x+18 = 0

x+18 = 0 // - 18

x = -18

x^2-324 = 0

x^2-324 = 0

1*x^2 = 324 // : 1

x^2 = 324

x^2 = 324 // ^ 1/2

abs(x) = 18

x = 18 or x = -18

x in (-oo:-18) U (-18:18) U (18:+oo)

2/(x+18)-(3/(x-18)) = (5*x)/(x^2-324) // - (5*x)/(x^2-324)

2/(x+18)-(3/(x-18))-((5*x)/(x^2-324)) = 0

2/(x+18)-3*(x-18)^-1-5*x*(x^2-324)^-1 = 0

2/(x+18)-3/(x-18)+(-5*x)/(x^2-324) = 0

(2*(x-18)*(x^2-324))/((x+18)*(x-18)*(x^2-324))+(-3*(x+18)*(x^2-324))/((x+18)*(x-18)*(x^2-324))+(-5*x*(x+18)*(x-18))/((x+18)*(x-18)*(x^2-324)) = 0

2*(x-18)*(x^2-324)-3*(x+18)*(x^2-324)-5*x*(x+18)*(x-18) = 0

324*x-x^3-5*x^3-90*x^2+1620*x+29160 = 0

1944*x-6*x^3-90*x^2+29160 = 0

1944*x-6*x^3-90*x^2+29160 = 0

6*(324*x-x^3-15*x^2+4860) = 0

324*x-x^3-15*x^2+4860

15*(324-x^2)-x^3+324*x

x*(324-x^2)+15*(324-x^2)

(x+15)*(324-x^2)

6*(x+15)*(324-x^2) = 0

(6*(x+15)*(324-x^2))/((x+18)*(x-18)*(x^2-324)) = 0

(6*(x+15)*(324-x^2))/((x+18)*(x-18)*(x^2-324)) = 0 // * (x+18)*(x-18)*(x^2-324)

6*(x+15)*(324-x^2) = 0

( 324-x^2 )

-1*x^2 = -324 // : -1

x^2 = 324

x^2 = 324 // ^ 1/2

abs(x) = 18

x = 18 or x = -18

( x+15 )

x+15 = 0 // - 15

x = -15

x in { 18}

x in { -18}

x = -15

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