3/(x+1)=9/(4x+5)

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Solution for 3/(x+1)=9/(4x+5) equation:


D( x )

x+1 = 0

4*x+5 = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

4*x+5 = 0

4*x+5 = 0

4*x+5 = 0 // - 5

4*x = -5 // : 4

x = -5/4

x in (-oo:-5/4) U (-5/4:-1) U (-1:+oo)

3/(x+1) = 9/(4*x+5) // - 9/(4*x+5)

3/(x+1)-(9/(4*x+5)) = 0

3/(x+1)-9*(4*x+5)^-1 = 0

3/(x+1)-9/(4*x+5) = 0

(3*(4*x+5))/((x+1)*(4*x+5))+(-9*(x+1))/((x+1)*(4*x+5)) = 0

3*(4*x+5)-9*(x+1) = 0

3*x+6 = 0

(3*x+6)/((x+1)*(4*x+5)) = 0

(3*x+6)/((x+1)*(4*x+5)) = 0 // * (x+1)*(4*x+5)

3*x+6 = 0

3*x+6 = 0 // - 6

3*x = -6 // : 3

x = -6/3

x = -2

x = -2

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