What is the answer to 1/(2x)+2= 3/(1-x) ?

The answer to 1/(2x)+2= 3/(1-x) is x=-1,x= 1/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/(2x)+2= 3/(1-x)

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

x = - 1, x = \frac{1}{4}

Decimal Notation

x = - 1, x = 0.25

Solution steps

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

Multiply by LCM

- x + 1 + 4 x (- x + 1) = 6 x

Solve

- x + 1 + 4 x (- x + 1) = 6 x : x = - 1, x = \frac{1}{4}

x = - 1, x = \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 1

Combine undefined points with solutions:

x = - 1, x = \frac{1}{4}

\frac{24}{52} = \frac{96}{m}

\frac{22}{x} = - 11

\frac{x}{x - 8} + 7 = \frac{8}{x - 8}

\frac{- 2}{7 ( 35 - 14 x ) + 9 x} = 11

0.25 = \frac{15 - 8 x}{8 x}

What is the answer to 1/(2x)+2= 3/(1-x) ?
The answer to 1/(2x)+2= 3/(1-x) is x=-1,x= 1/4
Solve for x: 1/(2x)+2= 3/(1-x)
The solution is x=-1,x= 1/4