What is the answer to 3x+5= 2/x ?

The answer to 3x+5= 2/x is x= 1/3 ,x=-2

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3x+5= 2/x

3 x + 5 = \frac{2}{x}

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

Solution steps

3 x + 5 = \frac{2}{x}

Multiply both sides by

x

3 x^{2} + 5 x = 2

Solve

3 x^{2} + 5 x = 2 : x = \frac{1}{3}, x = - 2

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

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

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

a, b = \frac{h}{a}

\frac{4}{x - 1} = \frac{7}{x + 2}

f, t = \frac{1}{f}