What is the answer to (x-4)/2 =-2/x ?

The answer to (x-4)/2 =-2/x is x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-4)/2 =-2/x

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

x = 2

Solution steps

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

Cross multiply

(x - 4) x = - 4

Solve

(x - 4) x = - 4 : x = 2

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2

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

\frac{1}{x + 1} + 5 = \frac{16}{x + 1}

\frac{7}{3} = \frac{2 x + 5}{x}

x - \frac{12}{x} = 1

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