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

The answer to 2/x+3/(x+2)=1 is x=4,x=-1

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

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

x = 4, x = - 1

Solution steps

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

Multiply by LCM

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

Solve

2 (x + 2) + 3 x = x (x + 2) : x = 4, x = - 1

x = 4, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 2

Combine undefined points with solutions:

x = 4, x = - 1

\frac{32}{x} = \frac{4}{9}

- \frac{1}{( x - 1 ) ^{2}} = 0

\frac{16}{x} = - \frac{8}{5}

3.5 = \frac{25}{x} 333 %^{54}

\frac{1}{x} - 4 = 7