What is the answer to (3x-7)/(x+3)=0 ?

The answer to (3x-7)/(x+3)=0 is x= 7/3

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(3x-7)/(x+3)=0

\frac{3 x - 7}{x + 3} = 0

x = \frac{7}{3}

Decimal Notation

x = 2.33333 \dots

Solution steps

\frac{3 x - 7}{x + 3} = 0

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

3 x - 7 = 0

Move

7

to the right side

3 x = 7

Divide both sides by

3

x = \frac{7}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = \frac{7}{3}

\frac{3}{x} = \frac{x}{27}

\frac{4}{x} = \frac{3}{5}

\frac{2}{3 - x} - \frac{6}{8 - x} = 1

x - \frac{x}{x + 7} = \frac{7}{x + 7}

3 = \frac{1}{x}