(x+4)/(10x-40)=1/4

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Solution for (x+4)/(10x-40)=1/4 equation: 


D( x )

10*x-40 = 0

10*x-40 = 0

10*x-40 = 0

10*x-40 = 0 // + 40

10*x = 40 // : 10

x = 40/10

x = 4

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

(x+4)/(10*x-40) = 1/4 // - 1/4

(x+4)/(10*x-40)-(1/4) = 0

(x+4)/(10*x-40)-1/4 = 0

(4*(x+4))/(4*(10*x-40))+(-1*(10*x-40))/(4*(10*x-40)) = 0

4*(x+4)-1*(10*x-40) = 0

56-6*x = 0

(56-6*x)/(4*(10*x-40)) = 0

(56-6*x)/(4*(10*x-40)) = 0 // * 4*(10*x-40)

56-6*x = 0

56-6*x = 0 // - 56

-6*x = -56 // : -6

x = -56/(-6)

x = 28/3

x = 28/3

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