What is the answer to 3x-2/x =-1 ?

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

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3x-2/x =-1

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

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

Decimal Notation

x = 0.66666 \dots, x = - 1

Solution steps

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

Multiply both sides by

x

3 x^{2} - 2 = - x

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{x ^{2}}{x - 1} = \frac{x ^{2} - 16}{x + 4}

r, S = \frac{1}{1 - r}

p, x = \frac{500}{p + 3}

0 = 2 x - \frac{128000}{x ^{2}}

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