What is the answer to 0=(2x+1)/(x-3) ?

The answer to 0=(2x+1)/(x-3) is x=-1/2

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0=(2x+1)/(x-3)

0 = \frac{2 x + 1}{x - 3}

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

0 = \frac{2 x + 1}{x - 3}

\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 = 3

Combine undefined points with solutions:

x = - \frac{1}{2}

\frac{2 x + 1}{x} = \frac{18}{10}

\frac{3}{( x - 2 )} = 4 - \frac{1}{3}

\frac{2 x - 3}{7 x + 4} = \frac{2}{5}

5 = \frac{1}{x}

4 x^{- 2} - 19 x^{- 1} - 5 = 0