(3x-1)/x-1=18x-1/2

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Solution for (3x-1)/x-1=18x-1/2 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

(3*x-1)/x-1 = 18*x-(1/2) // - 18*x-(1/2)

(3*x-1)/x-(18*x)+1/2-1 = 0

(3*x-1)/x-18*x+1/2-1 = 0

(2*(3*x-1))/(2*x)+(-18*2*x*x)/(2*x)+(1*x)/(2*x)+(-1*2*x)/(2*x) = 0

2*(3*x-1)-18*2*x*x+1*x-1*2*x = 0

6*x-36*x^2+x-2*x-2 = 0

7*x-36*x^2-2*x-2 = 0

5*x-36*x^2-2 = 0

5*x-36*x^2-2 = 0

5*x-36*x^2-2 = 0

DELTA = 5^2-(-36*(-2)*4)

DELTA = -263

DELTA < 0

1 = 0

1/(2*x) = 0

1/(2*x) = 0 // * 2*x

1 = 0

x belongs to the empty set

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