What is (12x^2-90x-162)/(9-x) ?

The solution to (12x^2-90x-162)/(9-x) is -12x-18

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simplify (12x^2-90x-162)/(9-x)

simplify

\frac{12 x ^{2} - 90 x - 162}{9 - x}

- 12 x - 18

Solution steps

\frac{12 x ^{2} - 90 x - 162}{9 - x}

Factor

12 x^{2} - 90 x - 162 : 6 (2 x^{2} - 15 x - 27)

= \frac{6 ( 2 x ^{2} - 15 x - 27 )}{9 - x}

Factor

2 x^{2} - 15 x - 27 : (2 x + 3) (x - 9)

= \frac{6 ( 2 x + 3 ) ( x - 9 )}{9 - x}

9 - x = - (x - 9)

= \frac{6 ( 2 x + 3 ) ( x - 9 )}{- ( x - 9 )}

Cancel the common factor:

x - 9

= \frac{6 ( 2 x + 3 )}{- 1}

Apply the fraction rule:

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

= - 6 (2 x + 3)

Expand

- 6 (2 x + 3) : - 12 x - 18

= - 12 x - 18

(2 x - 3 y - z + 5) (2 x - 3 y + z - 5)

\frac{2 + ( - 2 )}{2}

13 e \cdot 12.5

\frac{1}{12} \cdot 3

(- \frac{2}{2})^{2}

What is (12x^2-90x-162)/(9-x) ?
The solution to (12x^2-90x-162)/(9-x) is -12x-18