(12x+1)/(4x-1)=4

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Solution for (12x+1)/(4x-1)=4 equation: 


D( x )

4*x-1 = 0

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:+oo)

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

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

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

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

5-4*x = 0

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

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

5-4*x = 0

5-4*x = 0 // - 5

-4*x = -5 // : -4

x = -5/(-4)

x = 5/4

x = 5/4

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