What is the answer to 3/(p-6)= 1/p ?

The answer to 3/(p-6)= 1/p is p=-3

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3/(p-6)= 1/p

\frac{3}{p - 6} = \frac{1}{p}

p = - 3

Solution steps

\frac{3}{p - 6} = \frac{1}{p}

Cross multiply

3 p = p - 6

Move

p

to the left side

2 p = - 6

Divide both sides by

2

p = - 3

Verify Solutions

Find undefined (singularity) points:

p = 6, p = 0

Combine undefined points with solutions:

p = - 3

t, B = \frac{d}{1 - t}

\frac{3}{x} = \frac{12}{15}

u, y = \frac{1}{u} + x

n, A = P (b + \frac{x}{n})

3 x^{- 2} - 17 x^{- 1} - 6 = 0