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

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

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

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

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

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

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

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 + 3}{x - 2} = 9

x, \frac{x + y}{x} = y

\frac{0.24}{a} = \frac{6}{x}

\frac{x ^{2} - 4}{x - 2} = 0

\frac{16}{x} = \frac{x}{4}