2/(5x+15)-(3)/(2x+6)

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Solution for 2/(5x+15)-(3)/(2x+6) equation:


D( x )

5*x+15 = 0

2*x+6 = 0

5*x+15 = 0

5*x+15 = 0

5*x+15 = 0 // - 15

5*x = -15 // : 5

x = -15/5

x = -3

2*x+6 = 0

2*x+6 = 0

2*x+6 = 0 // - 6

2*x = -6 // : 2

x = -6/2

x = -3

x in (-oo:-3) U (-3:+oo)

2/(5*x+15)-(3/(2*x+6)) = 0

2/(5*x+15)-3*(2*x+6)^-1 = 0

2/(5*x+15)-3/(2*x+6) = 0

(2*(2*x+6))/((5*x+15)*(2*x+6))+(-3*(5*x+15))/((5*x+15)*(2*x+6)) = 0

2*(2*x+6)-3*(5*x+15) = 0

-11*x-33 = 0

(-11*x-33)/((5*x+15)*(2*x+6)) = 0

(-11*x-33)/((5*x+15)*(2*x+6)) = 0 // * (5*x+15)*(2*x+6)

-11*x-33 = 0

-11*x-33 = 0 // + 33

-11*x = 33 // : -11

x = 33/(-11)

x = -3

x in { -3}

x belongs to the empty set

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