20/(x+7)=10/(x-4)

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Solution for 20/(x+7)=10/(x-4) equation: 


D( x )

x+7 = 0

x-4 = 0

x+7 = 0

x+7 = 0

x+7 = 0 // - 7

x = -7

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:-7) U (-7:4) U (4:+oo)

20/(x+7) = 10/(x-4) // - 10/(x-4)

20/(x+7)-(10/(x-4)) = 0

20/(x+7)-10*(x-4)^-1 = 0

20/(x+7)-10/(x-4) = 0

(20*(x-4))/((x+7)*(x-4))+(-10*(x+7))/((x+7)*(x-4)) = 0

20*(x-4)-10*(x+7) = 0

10*x-150 = 0

(10*x-150)/((x+7)*(x-4)) = 0

(10*x-150)/((x+7)*(x-4)) = 0 // * (x+7)*(x-4)

10*x-150 = 0

10*x-150 = 0 // + 150

10*x = 150 // : 10

x = 150/10

x = 15

x = 15

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