(x)/(x+5)=(5)/(4)

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Solution for (x)/(x+5)=(5)/(4) equation: 


D( x )

x+5 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

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

x/(x+5) = 5/4 // - 5/4

x/(x+5)-(5/4) = 0

x/(x+5)-5/4 = 0

(4*x)/(4*(x+5))+(-5*(x+5))/(4*(x+5)) = 0

4*x-5*(x+5) = 0

-x-25 = 0

(-x-25)/(4*(x+5)) = 0

(-x-25)/(4*(x+5)) = 0 // * 4*(x+5)

-x-25 = 0

-x-25 = 0 // + 25

-x = 25 // * -1

x = -25

x = -25

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