(2x-1)/(5x+1)=5/4

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Solution for (2x-1)/(5x+1)=5/4 equation: 


D( x )

5*x+1 = 0

5*x+1 = 0

5*x+1 = 0

5*x+1 = 0 // - 1

5*x = -1 // : 5

x = -1/5

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

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

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

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

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

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

-17*x-9 = 0

(-17*x-9)/(4*(5*x+1)) = 0

(-17*x-9)/(4*(5*x+1)) = 0 // * 4*(5*x+1)

-17*x-9 = 0

-17*x-9 = 0 // + 9

-17*x = 9 // : -17

x = 9/(-17)

x = -9/17

x = -9/17

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