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

The answer to p/(1-p)=e is p= e/(1+e)

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p/(1-p)=e

\frac{p}{1 - p} = e

p = \frac{e}{1 + e}

Decimal Notation

p = 0.73105 \dots

Solution steps

\frac{p}{1 - p} = e

Multiply both sides by

1 - p

p = e (1 - p)

Expand

e (1 - p) : e - e p

p = e - e p

Move

e p

to the left side

p + e p = e

Factor

p + e p : (1 + e) p

(1 + e) p = e

Divide both sides by

1 + e

p = \frac{e}{1 + e}

Verify Solutions

Find undefined (singularity) points:

p = 1

Combine undefined points with solutions:

p = \frac{e}{1 + e}

\frac{0.3}{x} = - 0.12

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

\frac{4}{3 x - 2} = 0

\frac{1}{s ( s + 1 ) ( s + 2 )} = - 1

\frac{3}{x} + 2 = 12