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

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

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

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

x = 1, x = - \frac{2}{3}

Decimal Notation

x = 1, x = - 0.66666 \dots

Solution steps

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

Multiply by LCM

2 (x + 1) + 2 x = 3 x (x + 1)

Solve

2 (x + 1) + 2 x = 3 x (x + 1) : x = 1, x = - \frac{2}{3}

x = 1, x = - \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 1

Combine undefined points with solutions:

x = 1, x = - \frac{2}{3}

- \frac{5}{3 x - 7} = \frac{3}{3 x + 1}

t, P = \frac{100 a}{t}

\frac{2}{9} = \frac{8}{x}

\frac{4}{5} = \frac{2 x - 10}{x - 2}

- \frac{10}{n - 10} = \frac{5}{8}