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

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

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1/x-1= 3/(4x)

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

x = \frac{1}{4}

Solution steps

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

Multiply by LCM

4 - 4 x = 3

Move

4

to the right side

- 4 x = - 1

Divide both sides by

- 4

x = \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{4}

x = \frac{4 x ^{3} - 8 x + 2}{8 x + 4}

\frac{x}{16} = \frac{36}{x}

x + \frac{8}{x} = \frac{4 x - 5}{3}

\frac{( 100 P - 4000 )}{100 P} = 0.3

a, \frac{b + 2}{a + 1} = 4