What is the answer to 0=(3x-4)/(2x+6) ?

The answer to 0=(3x-4)/(2x+6) is x= 4/3

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0=(3x-4)/(2x+6)

0 = \frac{3 x - 4}{2 x + 6}

x = \frac{4}{3}

Decimal Notation

x = 1.33333 \dots

Solution steps

0 = \frac{3 x - 4}{2 x + 6}

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

0 = 3 x - 4

Switch sides

3 x - 4 = 0

Move

4

to the right side

3 x = 4

Divide both sides by

3

x = \frac{4}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = \frac{4}{3}

0 = x - 5 + \frac{4}{x}

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

\frac{32}{x} = 15

\frac{7}{4} = \frac{14}{x}

\frac{32}{d - 2} = 10