Simplify (-6w^3z^4-3w^2z^5+4w+5z)÷(2w^2z)

$(- 6 w^{3} z^{4} - 3 w^{2} z^{5} + 4 w + 5 z) \div (2 w^{2} z)$

Step 1

Rewrite the division as a fraction.

$\frac{- 6 w^{3} z^{4} - 3 w^{2} z^{5} + 4 w + 5 z}{2 w^{2} z}$

Step 2

Factor $- 1$ out of $- 6 w^{3} z^{4}$ .

$\frac{- (6 w^{3} z^{4}) - 3 w^{2} z^{5} + 4 w + 5 z}{2 w^{2} z}$

Step 3

Factor $- 1$ out of $- 3 w^{2} z^{5}$ .

$\frac{- (6 w^{3} z^{4}) - (3 w^{2} z^{5}) + 4 w + 5 z}{2 w^{2} z}$

Step 4

Factor $- 1$ out of $- (6 w^{3} z^{4}) - (3 w^{2} z^{5})$ .

$\frac{- (6 w^{3} z^{4} + 3 w^{2} z^{5}) + 4 w + 5 z}{2 w^{2} z}$

Step 5

Factor $- 1$ out of $4 w$ .

$\frac{- (6 w^{3} z^{4} + 3 w^{2} z^{5}) - (- 4 w) + 5 z}{2 w^{2} z}$

Step 6

Factor $- 1$ out of $- (6 w^{3} z^{4} + 3 w^{2} z^{5}) - (- 4 w)$ .

$\frac{- (6 w^{3} z^{4} + 3 w^{2} z^{5} - 4 w) + 5 z}{2 w^{2} z}$

Step 7

Factor $- 1$ out of $5 z$ .

$\frac{- (6 w^{3} z^{4} + 3 w^{2} z^{5} - 4 w) - (- 5 z)}{2 w^{2} z}$

Step 8

Factor $- 1$ out of $- (6 w^{3} z^{4} + 3 w^{2} z^{5} - 4 w) - (- 5 z)$ .

$\frac{- (6 w^{3} z^{4} + 3 w^{2} z^{5} - 4 w - 5 z)}{2 w^{2} z}$

Step 9

Simplify the expression.

Rewrite $- (6 w^{3} z^{4} + 3 w^{2} z^{5} - 4 w - 5 z)$ as $- 1 (6 w^{3} z^{4} + 3 w^{2} z^{5} - 4 w - 5 z)$ .

$\frac{- 1 (6 w^{3} z^{4} + 3 w^{2} z^{5} - 4 w - 5 z)}{2 w^{2} z}$

Move the negative in front of the fraction.

$- \frac{6 w^{3} z^{4} + 3 w^{2} z^{5} - 4 w - 5 z}{2 w^{2} z}$