What is the answer to 6/x-1/4 =-1/2 ?

The answer to 6/x-1/4 =-1/2 is x=-24

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6/x-1/4 =-1/2

\frac{6}{x} - \frac{1}{4} = - \frac{1}{2}

x = - 24

Solution steps

\frac{6}{x} - \frac{1}{4} = - \frac{1}{2}

Multiply by LCM

24 - x = - 2 x

Move

24

to the right side

- x = - 2 x - 24

Move

2 x

to the left side

x = - 24

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 24

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\frac{270}{( x - 12 )} - \frac{270}{x} = \frac{3}{4}

\frac{( 3 a + b )}{s} = 7