(3x/(x+5))+(2x/(x-7))

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Solution for (3x/(x+5))+(2x/(x-7)) equation:


D( x )

x+5 = 0

x-7 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

x-7 = 0

x-7 = 0

x-7 = 0 // + 7

x = 7

x in (-oo:-5) U (-5:7) U (7:+oo)

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

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

3*x*(x-7)+2*x*(x+5) = 0

5*x^2-11*x = 0

5*x^2-11*x = 0

x*(5*x-11) = 0

5*x-11 = 0 // + 11

5*x = 11 // : 5

x = 11/5

x*(x-11/5) = 0

(x*(x-11/5))/((x+5)*(x-7)) = 0

(x*(x-11/5))/((x+5)*(x-7)) = 0 // * (x+5)*(x-7)

x*(x-11/5) = 0

( x-11/5 )

x-11/5 = 0 // + 11/5

x = 11/5

( x )

x = 0

x in { 11/5, 0 }

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