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

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

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

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

x = - \frac{2}{3}

Decimal Notation

x = - 0.66666 \dots

Solution steps

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

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

0 = 3 x + 2

Switch sides

3 x + 2 = 0

Move

2

to the right side

3 x = - 2

Divide both sides by

3

x = - \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = - \frac{2}{3}

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

6 (u)^{- 1} - u = 1

- 55.555 = \frac{- 0.09}{r ^{2}}

\frac{4}{p - 3} - \frac{2}{p} = 0

\frac{9}{x} = \frac{x}{9}