What is the answer to 6p-2/p =1 ?

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

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6p-2/p =1

6 p - \frac{2}{p} = 1

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

Decimal Notation

p = 0.66666 \dots, p = - 0.5

Solution steps

6 p - \frac{2}{p} = 1

Multiply both sides by

p

6 p^{2} - 2 = p

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

p = 0

Combine undefined points with solutions:

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

\frac{1}{x ^{a}}

\frac{x + 6}{3 - x} = \frac{5 + 2 x}{7 x - 5}

\frac{2}{y ^{2} - 9} = \frac{5}{y ^{2} + 3 y}

x + \frac{x}{x - 5} = \frac{5}{x - 5}

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