15/(2x)=3/(5+x)

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Solution for 15/(2x)=3/(5+x) equation: 


D( x )

x+5 = 0

2*x = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

x in (-oo:-5) U (-5:0) U (0:+oo)

15/(2*x) = 3/(x+5) // - 3/(x+5)

15/(2*x)-(3/(x+5)) = 0

15/(2*x)-3*(x+5)^-1 = 0

15/(2*x)-3/(x+5) = 0

(-3*2*x)/(2*x*(x+5))+(15*(x+5))/(2*x*(x+5)) = 0

15*(x+5)-3*2*x = 0

9*x+75 = 0

(9*x+75)/(2*x*(x+5)) = 0

(9*x+75)/(2*x*(x+5)) = 0 // * 2*x*(x+5)

9*x+75 = 0

9*x+75 = 0 // - 75

9*x = -75 // : 9

x = -75/9

x = -25/3

x = -25/3

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