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

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


D( x )

x+3 = 0

4*x+3 = 0

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

4*x+3 = 0

4*x+3 = 0

4*x+3 = 0 // - 3

4*x = -3 // : 4

x = -3/4

x in (-oo:-3) U (-3:-3/4) U (-3/4:+oo)

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

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

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

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

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

3*x-x^2 = 0

3*x-x^2 = 0

x*(3-x) = 0

3-x = 0 // - 3

-x = -3 // * -1

x = 3

x*(x-3) = 0

(x*(x-3))/((4*x+3)*(x+3)) = 0

(x*(x-3))/((4*x+3)*(x+3)) = 0 // * (4*x+3)*(x+3)

x*(x-3) = 0

( x-3 )

x-3 = 0 // + 3

x = 3

( x )

x = 0

x in { 3, 0 }

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