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

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Solution for (4)/(3x-7)=(5)/(4x+1) equation:


D( x )

3*x-7 = 0

4*x+1 = 0

3*x-7 = 0

3*x-7 = 0

3*x-7 = 0 // + 7

3*x = 7 // : 3

x = 7/3

4*x+1 = 0

4*x+1 = 0

4*x+1 = 0 // - 1

4*x = -1 // : 4

x = -1/4

x in (-oo:-1/4) U (-1/4:7/3) U (7/3:+oo)

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

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

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

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

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

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

x+39 = 0

(x+39)/((3*x-7)*(4*x+1)) = 0

(x+39)/((3*x-7)*(4*x+1)) = 0 // * (3*x-7)*(4*x+1)

x+39 = 0

x+39 = 0 // - 39

x = -39

x = -39

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