What is the answer to 1+2x= 6/x ?

The answer to 1+2x= 6/x is x= 3/2 ,x=-2

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1+2x= 6/x

1 + 2 x = \frac{6}{x}

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

Decimal Notation

x = 1.5, x = - 2

Solution steps

1 + 2 x = \frac{6}{x}

Multiply both sides by

x

x + 2 x^{2} = 6

Solve

x + 2 x^{2} = 6 : x = \frac{3}{2}, x = - 2

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

x^{- 2} + 5 x^{- 1} + 4 = 0

\frac{16}{x - 4} = \frac{4}{9}

\frac{1}{( 3 x - \frac{1}{3} )} = 12

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

\frac{- 6}{x} = \frac{- 14}{x + 4}