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

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

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

\frac{6}{x} + \frac{3}{x + 2} = 2

x = 4, x = - \frac{3}{2}

Decimal Notation

x = 4, x = - 1.5

Solution steps

\frac{6}{x} + \frac{3}{x + 2} = 2

Multiply by LCM

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

Solve

6 (x + 2) + 3 x = 2 x (x + 2) : x = 4, x = - \frac{3}{2}

x = 4, x = - \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 2

Combine undefined points with solutions:

x = 4, x = - \frac{3}{2}

\frac{3}{4 x} = \frac{5}{6}

z^{5} + 8 \cdot z^{- 1} = 0

z = \frac{1}{z}

\frac{2}{x + 8} = \frac{4}{x}

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