What is the answer to 6p-3/p =7 ?

The answer to 6p-3/p =7 is p= 3/2 ,p=-1/3

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6p-3/p =7

6 p - \frac{3}{p} = 7

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

Decimal

p = 1.5, p = - 0.33333 \dots

Solution steps

6 p - \frac{3}{p} = 7

Multiply both sides by

p

6 p^{2} - 3 = 7 p

Solve

6 p^{2} - 3 = 7 p : p = \frac{3}{2}, p = - \frac{1}{3}

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

Verify Solutions

Find undefined (singularity) points:

p = 0

Combine undefined points with solutions:

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

\frac{5}{x ^{2}} - \frac{38}{x} = 16

1 + \frac{7}{x - 2} = \frac{3 x + 7}{x ^{2} - 4}

\frac{5}{x + 8} = \frac{3}{x - 2}

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

\frac{2}{x - 1} + \frac{4}{x + 5} = 7