Divide (-14s^4t^2+7s^2t^2-18t)÷2s^2t

$(- 14 s^{4} t^{2} + 7 s^{2} t^{2} - 18 t) \div 2 s^{2} t$

Rewrite the division as a fraction.

$\frac{- 14 s^{4} t^{2} + 7 s^{2} t^{2} - 18 t}{2 s^{2} t}$

Factor $t$ out of $- 14 s^{4} t^{2} + 7 s^{2} t^{2} - 18 t$ .

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Factor $t$ out of $- 14 s^{4} t^{2}$ .

$\frac{t (- 14 s^{4} t) + 7 s^{2} t^{2} - 18 t}{2 s^{2} t}$

Factor $t$ out of $7 s^{2} t^{2}$ .

$\frac{t (- 14 s^{4} t) + t (7 s^{2} t) - 18 t}{2 s^{2} t}$

Factor $t$ out of $- 18 t$ .

$\frac{t (- 14 s^{4} t) + t (7 s^{2} t) + t \cdot - 18}{2 s^{2} t}$

Factor $t$ out of $t (- 14 s^{4} t) + t (7 s^{2} t)$ .

$\frac{t (- 14 s^{4} t + 7 s^{2} t) + t \cdot - 18}{2 s^{2} t}$

Factor $t$ out of $t (- 14 s^{4} t + 7 s^{2} t) + t \cdot - 18$ .

$\frac{t (- 14 s^{4} t + 7 s^{2} t - 18)}{2 s^{2} t}$

Cancel the common factor of $t$ .

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Cancel the common factor.

$\frac{t (- 14 s^{4} t + 7 s^{2} t - 18)}{2 s^{2} t}$

Rewrite the expression.

$\frac{- 14 s^{4} t + 7 s^{2} t - 18}{2 s^{2}}$

Factor $- 1$ out of $- 14 s^{4} t$ .

$\frac{- (14 s^{4} t) + 7 s^{2} t - 18}{2 s^{2}}$

Factor $- 1$ out of $7 s^{2} t$ .

$\frac{- (14 s^{4} t) - (- 7 s^{2} t) - 18}{2 s^{2}}$

Factor $- 1$ out of $- (14 s^{4} t) - (- 7 s^{2} t)$ .

$\frac{- (14 s^{4} t - 7 s^{2} t) - 18}{2 s^{2}}$

Rewrite $- 18$ as $- 1 (18)$ .

$\frac{- (14 s^{4} t - 7 s^{2} t) - 1 (18)}{2 s^{2}}$

Factor $- 1$ out of $- (14 s^{4} t - 7 s^{2} t) - 1 (18)$ .

$\frac{- (14 s^{4} t - 7 s^{2} t + 18)}{2 s^{2}}$

Rewrite $- (14 s^{4} t - 7 s^{2} t + 18)$ as $- 1 (14 s^{4} t - 7 s^{2} t + 18)$ .

$\frac{- 1 (14 s^{4} t - 7 s^{2} t + 18)}{2 s^{2}}$

Move the negative in front of the fraction.

$- \frac{14 s^{4} t - 7 s^{2} t + 18}{2 s^{2}}$

Split the fraction $\frac{14 s^{4} t - 7 s^{2} t + 18}{2 s^{2}}$ into two fractions.

$- (\frac{14 s^{4} t - 7 s^{2} t}{2 s^{2}} + \frac{18}{2 s^{2}})$

Split the fraction $\frac{14 s^{4} t - 7 s^{2} t}{2 s^{2}}$ into two fractions.

$- (\frac{14 s^{4} t}{2 s^{2}} + \frac{- 7 s^{2} t}{2 s^{2}} + \frac{18}{2 s^{2}})$

Cancel the common factor of $14$ and $2$ .

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Factor $2$ out of $14 s^{4} t$ .

$- (\frac{2 (7 s^{4} t)}{2 s^{2}} + \frac{- 7 s^{2} t}{2 s^{2}} + \frac{18}{2 s^{2}})$

Cancel the common factors.

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Factor $2$ out of $2 s^{2}$ .

$- (\frac{2 (7 s^{4} t)}{2 (s^{2})} + \frac{- 7 s^{2} t}{2 s^{2}} + \frac{18}{2 s^{2}})$

Cancel the common factor.

$- (\frac{2 (7 s^{4} t)}{2 s^{2}} + \frac{- 7 s^{2} t}{2 s^{2}} + \frac{18}{2 s^{2}})$

Rewrite the expression.

$- (\frac{7 s^{4} t}{s^{2}} + \frac{- 7 s^{2} t}{2 s^{2}} + \frac{18}{2 s^{2}})$

Cancel the common factor of $s^{4}$ and $s^{2}$ .

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Factor $s^{2}$ out of $7 s^{4} t$ .

$- (\frac{s^{2} (7 s^{2} t)}{s^{2}} + \frac{- 7 s^{2} t}{2 s^{2}} + \frac{18}{2 s^{2}})$

Cancel the common factors.

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Multiply by $1$ .

$- (\frac{s^{2} (7 s^{2} t)}{s^{2} \cdot 1} + \frac{- 7 s^{2} t}{2 s^{2}} + \frac{18}{2 s^{2}})$

Cancel the common factor.

$- (\frac{s^{2} (7 s^{2} t)}{s^{2} \cdot 1} + \frac{- 7 s^{2} t}{2 s^{2}} + \frac{18}{2 s^{2}})$

Rewrite the expression.

$- (\frac{7 s^{2} t}{1} + \frac{- 7 s^{2} t}{2 s^{2}} + \frac{18}{2 s^{2}})$

Divide $7 s^{2} t$ by $1$ .

$- (7 s^{2} t + \frac{- 7 s^{2} t}{2 s^{2}} + \frac{18}{2 s^{2}})$

Cancel the common factor of $s^{2}$ .

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Cancel the common factor.

$- (7 s^{2} t + \frac{- 7 s^{2} t}{2 s^{2}} + \frac{18}{2 s^{2}})$

Rewrite the expression.

$- (7 s^{2} t + \frac{- 7 t}{2} + \frac{18}{2 s^{2}})$

Move the negative in front of the fraction.

$- (7 s^{2} t - \frac{7 t}{2} + \frac{18}{2 s^{2}})$

Cancel the common factor of $18$ and $2$ .

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Factor $2$ out of $18$ .

$- (7 s^{2} t - \frac{7 t}{2} + \frac{2 \cdot 9}{2 s^{2}})$

Cancel the common factors.

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Factor $2$ out of $2 s^{2}$ .

$- (7 s^{2} t - \frac{7 t}{2} + \frac{2 \cdot 9}{2 (s^{2})})$

Cancel the common factor.

$- (7 s^{2} t - \frac{7 t}{2} + \frac{2 \cdot 9}{2 s^{2}})$

Rewrite the expression.

$- (7 s^{2} t - \frac{7 t}{2} + \frac{9}{s^{2}})$

Divide (-14s^4t^2+7s^2t^2-18t)÷2s^2t

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