3/(x+2)=9/(4x-1)

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Solution for 3/(x+2)=9/(4x-1) equation:


D( x )

4*x-1 = 0

x+2 = 0

4*x-1 = 0

4*x-1 = 0

4*x-1 = 0 // + 1

4*x = 1 // : 4

x = 1/4

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x in (-oo:-2) U (-2:1/4) U (1/4:+oo)

3/(x+2) = 9/(4*x-1) // - 9/(4*x-1)

3/(x+2)-(9/(4*x-1)) = 0

3/(x+2)-9*(4*x-1)^-1 = 0

3/(x+2)-9/(4*x-1) = 0

(3*(4*x-1))/((x+2)*(4*x-1))+(-9*(x+2))/((x+2)*(4*x-1)) = 0

3*(4*x-1)-9*(x+2) = 0

3*x-21 = 0

(3*x-21)/((x+2)*(4*x-1)) = 0

(3*x-21)/((x+2)*(4*x-1)) = 0 // * (x+2)*(4*x-1)

3*x-21 = 0

3*x-21 = 0 // + 21

3*x = 21 // : 3

x = 21/3

x = 7

x = 7

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