4/(x+7)=2/(x-2)

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Solution for 4/(x+7)=2/(x-2) equation: 


D( x )

x+7 = 0

x-2 = 0

x+7 = 0

x+7 = 0

x+7 = 0 // - 7

x = -7

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x in (-oo:-7) U (-7:2) U (2:+oo)

4/(x+7) = 2/(x-2) // - 2/(x-2)

4/(x+7)-(2/(x-2)) = 0

4/(x+7)-2*(x-2)^-1 = 0

4/(x+7)-2/(x-2) = 0

(4*(x-2))/((x+7)*(x-2))+(-2*(x+7))/((x+7)*(x-2)) = 0

4*(x-2)-2*(x+7) = 0

2*x-22 = 0

(2*x-22)/((x+7)*(x-2)) = 0

(2*x-22)/((x+7)*(x-2)) = 0 // * (x+7)*(x-2)

2*x-22 = 0

2*x-22 = 0 // + 22

2*x = 22 // : 2

x = 22/2

x = 11

x = 11

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