6/(x+3)=4/(x-10)

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Solution for 6/(x+3)=4/(x-10) equation: 


D( x )

x+3 = 0

x-10 = 0

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x-10 = 0

x-10 = 0

x-10 = 0 // + 10

x = 10

x in (-oo:-3) U (-3:10) U (10:+oo)

6/(x+3) = 4/(x-10) // - 4/(x-10)

6/(x+3)-(4/(x-10)) = 0

6/(x+3)-4*(x-10)^-1 = 0

6/(x+3)-4/(x-10) = 0

(6*(x-10))/((x+3)*(x-10))+(-4*(x+3))/((x+3)*(x-10)) = 0

6*(x-10)-4*(x+3) = 0

2*x-72 = 0

(2*x-72)/((x+3)*(x-10)) = 0

(2*x-72)/((x+3)*(x-10)) = 0 // * (x+3)*(x-10)

2*x-72 = 0

2*x-72 = 0 // + 72

2*x = 72 // : 2

x = 72/2

x = 36

x = 36

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