10x/(x+2)=15x/x

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Solution for 10x/(x+2)=15x/x equation: 


D( x )

x+2 = 0

x = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x = 0

x = 0

x in (-oo:-2) U (-2:0) U (0:+oo)

(10*x)/(x+2) = (15*x)/x // - (15*x)/x

(10*x)/(x+2)-((15*x)/x) = 0

(10*x)/(x+2)-15 = 0

(10*x)/(x+2)+(-15*(x+2))/(x+2) = 0

10*x-15*(x+2) = 0

-5*x-30 = 0

(-5*x-30)/(x+2) = 0

(-5*x-30)/(x+2) = 0 // * x+2

-5*x-30 = 0

-5*x-30 = 0 // + 30

-5*x = 30 // : -5

x = 30/(-5)

x = -6

x = -6

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