What is the answer to (2(1-p))/p =10 ?

The answer to (2(1-p))/p =10 is p= 1/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(2(1-p))/p =10

\frac{2 ( 1 - p )}{p} = 10

p = \frac{1}{6}

Decimal Notation

p = 0.16666 \dots

Solution steps

\frac{2 ( 1 - p )}{p} = 10

Multiply both sides by

p

2 (1 - p) = 10 p

Expand

2 (1 - p) : 2 - 2 p

2 - 2 p = 10 p

Move

2

to the right side

- 2 p = 10 p - 2

Move

10 p

to the left side

- 12 p = - 2

Divide both sides by

- 12

p = \frac{1}{6}

Verify Solutions

Find undefined (singularity) points:

p = 0

Combine undefined points with solutions:

p = \frac{1}{6}

0 = \frac{8 x - 8}{x + 2}

\frac{4}{x + 4} = \frac{- 4}{x - 4}

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

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

x + 3 = \frac{60}{x - 1}