What is the answer to (x-2)/(x-6)=-4/x ?

The answer to (x-2)/(x-6)=-4/x is x=4,x=-6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-2)/(x-6)=-4/x

\frac{x - 2}{x - 6} = - \frac{4}{x}

x = 4, x = - 6

Solution steps

\frac{x - 2}{x - 6} = - \frac{4}{x}

Cross multiply

(x - 2) x = - (x - 6) \cdot 4

Solve

(x - 2) x = - (x - 6) \cdot 4 : x = 4, x = - 6

x = 4, x = - 6

Verify Solutions

Find undefined (singularity) points:

x = 6, x = 0

Combine undefined points with solutions:

x = 4, x = - 6

1 = \frac{3 x ^{2} - 2}{4 x + 2}

\frac{x ^{2} - 1}{x ^{2} - 9} = 0

\frac{x ^{3} + 2 x ^{4}}{x} = 0

0.387 = \frac{x}{x + 1}

t = \frac{1}{t}

What is the answer to (x-2)/(x-6)=-4/x ?
The answer to (x-2)/(x-6)=-4/x is x=4,x=-6
Solve for x: (x-2)/(x-6)=-4/x
The solution is x=4,x=-6