What is (x^2-49)/(7x-x^2) ?

The solution to (x^2-49)/(7x-x^2) is -(x+7)/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2-49)/(7x-x^2)

simplify

\frac{x ^{2} - 49}{7 x - x ^{2}}

- \frac{x + 7}{x}

Solution steps

\frac{x ^{2} - 49}{7 x - x ^{2}}

Factor

x^{2} - 49 : (x + 7) (x - 7)

= \frac{( x + 7 ) ( x - 7 )}{7 x - x ^{2}}

Factor

7 x - x^{2} : x (7 - x)

= \frac{( x + 7 ) ( x - 7 )}{x ( 7 - x )}

x (7 - x) = - x (x - 7)

= \frac{( x + 7 ) ( x - 7 )}{- x ( x - 7 )}

Cancel the common factor:

x - 7

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

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

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

\frac{1}{4} \times (- 3)

\frac{1}{4} \times (- 8)

4 i (3 - 5 i)

0 x^{2} - x^{2}

\frac{49}{21}