What is the answer to 30(1/x+1/50)=1 ?

The answer to 30(1/x+1/50)=1 is x=75

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

30(1/x+1/50)=1

30 (\frac{1}{x} + \frac{1}{50}) = 1

x = 75

Solution steps

30 (\frac{1}{x} + \frac{1}{50}) = 1

Multiply by LCM

150 + 3 x = 5 x

Move

150

to the right side

3 x = 5 x - 150

Move

5 x

to the left side

- 2 x = - 150

Divide both sides by

- 2

x = 75

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 75

\frac{- 1}{( x - 1 ) ^{2}} = 0

\frac{x - 1}{x + 6} - 3 = 5

x, \frac{6}{x} = x - 1

\frac{( x - 13 )}{6} + 1 = \frac{3}{x}

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