What is (14x^2-70x-84)/(6-x) ?

The solution to (14x^2-70x-84)/(6-x) is -14x-14

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (14x^2-70x-84)/(6-x)

simplify

\frac{14 x ^{2} - 70 x - 84}{6 - x}

- 14 x - 14

Solution steps

\frac{14 x ^{2} - 70 x - 84}{6 - x}

Factor

14 x^{2} - 70 x - 84 : 14 (x^{2} - 5 x - 6)

= \frac{14 ( x ^{2} - 5 x - 6 )}{6 - x}

Factor

x^{2} - 5 x - 6 : (x + 1) (x - 6)

= \frac{14 ( x + 1 ) ( x - 6 )}{6 - x}

6 - x = - (x - 6)

= \frac{14 ( x + 1 ) ( x - 6 )}{- ( x - 6 )}

Cancel the common factor:

x - 6

= \frac{14 ( x + 1 )}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - 14 (x + 1)

Expand

- 14 (x + 1) : - 14 x - 14

= - 14 x - 14

- \frac{1}{6}

12 x^{2} - 103 x - 45

\frac{- 45}{- 3}

(13 x^{11})^{- 1}

8^{- 1} - 1 6^{- 1}