What is the answer to 0=(2x+1)/x ?

The answer to 0=(2x+1)/x is x=-1/2

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0=(2x+1)/x

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

x = - \frac{1}{2}

Solution steps

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

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

0 = 2 x + 1

Switch sides

2 x + 1 = 0

Move

1

to the right side

2 x = - 1

Divide both sides by

2

x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{2}

\frac{2 x - 7}{x} = \frac{x - 3}{4}

\frac{2}{x - 1} = \frac{5}{x}

\frac{x !}{( x - 2 ) !} = 30

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

\frac{6}{( x + 2 )} = 12