Simplify (-9a^4-9a^3-4a^2)÷9a

$(- 9 a^{4} - 9 a^{3} - 4 a^{2}) \div 9 a$

Rewrite the division as a fraction.

$\frac{- 9 a^{4} - 9 a^{3} - 4 a^{2}}{9 a}$

Factor $a^{2}$ out of $- 9 a^{4} - 9 a^{3} - 4 a^{2}$ .

Factor $a^{2}$ out of $- 9 a^{4}$ .

$\frac{a^{2} (- 9 a^{2}) - 9 a^{3} - 4 a^{2}}{9 a}$

Factor $a^{2}$ out of $- 9 a^{3}$ .

$\frac{a^{2} (- 9 a^{2}) + a^{2} (- 9 a) - 4 a^{2}}{9 a}$

Factor $a^{2}$ out of $- 4 a^{2}$ .

$\frac{a^{2} (- 9 a^{2}) + a^{2} (- 9 a) + a^{2} \cdot - 4}{9 a}$

Factor $a^{2}$ out of $a^{2} (- 9 a^{2}) + a^{2} (- 9 a)$ .

$\frac{a^{2} (- 9 a^{2} - 9 a) + a^{2} \cdot - 4}{9 a}$

Factor $a^{2}$ out of $a^{2} (- 9 a^{2} - 9 a) + a^{2} \cdot - 4$ .

$\frac{a^{2} (- 9 a^{2} - 9 a - 4)}{9 a}$

Cancel the common factor of $a^{2}$ and $a$ .

Factor $a$ out of $a^{2} (- 9 a^{2} - 9 a - 4)$ .

$\frac{a (a (- 9 a^{2} - 9 a - 4))}{9 a}$

Cancel the common factors.

Factor $a$ out of $9 a$ .

$\frac{a (a (- 9 a^{2} - 9 a - 4))}{a \cdot 9}$

Cancel the common factor.

$\frac{a (a (- 9 a^{2} - 9 a - 4))}{a \cdot 9}$

Rewrite the expression.

$\frac{a (- 9 a^{2} - 9 a - 4)}{9}$

Factor $- 1$ out of $- 9 a^{2}$ .

$\frac{a (- (9 a^{2}) - 9 a - 4)}{9}$

Factor $- 1$ out of $- 9 a$ .

$\frac{a (- (9 a^{2}) - (9 a) - 4)}{9}$

Factor $- 1$ out of $- (9 a^{2}) - (9 a)$ .

$\frac{a (- (9 a^{2} + 9 a) - 4)}{9}$

Rewrite $- 4$ as $- 1 (4)$ .

$\frac{a (- (9 a^{2} + 9 a) - 1 (4))}{9}$

Factor $- 1$ out of $- (9 a^{2} + 9 a) - 1 (4)$ .

$\frac{a (- (9 a^{2} + 9 a + 4))}{9}$

Simplify the expression.

Rewrite $- (9 a^{2} + 9 a + 4)$ as $- 1 (9 a^{2} + 9 a + 4)$ .

$\frac{a (- 1 (9 a^{2} + 9 a + 4))}{9}$

Move the negative in front of the fraction.

$- \frac{a (9 a^{2} + 9 a + 4)}{9}$