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

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

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0=(2x+1)/(1/2 x-1)

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

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

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

Simplify

\frac{2 x + 1}{\frac{1}{2} x - 1} : \frac{2 ( 2 x + 1 )}{x - 2}

0 = \frac{2 ( 2 x + 1 )}{x - 2}

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

0 = 2 (2 x + 1)

Switch sides

2 (2 x + 1) = 0

Divide both sides by

2

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 = 2

Combine undefined points with solutions:

x = - \frac{1}{2}

\frac{x - 3}{x + 1} = 0

\frac{1}{x} + \frac{1}{( x + 1 )} = 1

9 x = \frac{1}{x}

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

\frac{7}{x} = \frac{4}{6}

What is the answer to 0=(2x+1)/(1/2 x-1) ?
The answer to 0=(2x+1)/(1/2 x-1) is x=-1/2
Solve for x: 0=(2x+1)/(1/2 x-1)
The solution is x=-1/2