What is the answer to (4x-1)/x =3x ?

The answer to (4x-1)/x =3x is x=1,x= 1/3

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(4x-1)/x =3x

\frac{4 x - 1}{x} = 3 x

x = 1, x = \frac{1}{3}

Decimal Notation

x = 1, x = 0.33333 \dots

Solution steps

\frac{4 x - 1}{x} = 3 x

Multiply both sides by

x

4 x - 1 = 3 x^{2}

Solve

4 x - 1 = 3 x^{2} : x = 1, x = \frac{1}{3}

x = 1, x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = \frac{1}{3}

x + 2 = \frac{4}{x}

\frac{x}{3} = \frac{9}{x + 5 x ^{2}}

\frac{8}{a} = \frac{21}{42}

x = \frac{2}{x + 1}

\frac{- 3}{2 x} + \frac{6}{x} = - 9