Question

3x+5/4x+2=3x+4/4x+7. How to solve this variable.

Answer 1

Solution for (3x+5)/(4x+2)=(3x+4)/(4x+7) equation:


D( x )

4*x+2 = 0

4*x+7 = 0

4*x+2 = 0

4*x+2 = 0

4*x+2 = 0 // - 2

4*x = -2 // : 4

x = -2/4

x = -1/2

4*x+7 = 0

4*x+7 = 0

4*x+7 = 0 // - 7

4*x = -7 // : 4

x = -7/4

x in (-oo:-7/4) U (-7/4:-1/2) U (-1/2:+oo)

(3*x+5)/(4*x+2) = (3*x+4)/(4*x+7) // - (3*x+4)/(4*x+7)

(3*x+5)/(4*x+2)-((3*x+4)/(4*x+7)) = 0

(3*x+5)/(4*x+2)+(-1*(3*x+4))/(4*x+7) = 0

((3*x+5)*(4*x+7))/((4*x+2)*(4*x+7))+(-1*(3*x+4)*(4*x+2))/((4*x+2)*(4*x+7)) = 0

(3*x+5)*(4*x+7)-1*(3*x+4)*(4*x+2) = 0

19*x+27 = 0

(19*x+27)/((4*x+2)*(4*x+7)) = 0

(19*x+27)/((4*x+2)*(4*x+7)) = 0 // * (4*x+2)*(4*x+7)

19*x+27 = 0

19*x+27 = 0 // - 27

19*x = -27 // : 19

x = -27/19

x = -27/19