Finite Math Examples

$\frac{92 x^{4} - 56 x^{3} - 84 x}{- 4 x}$

Step 1

Factor $4 x$ out of $92 x^{4} - 56 x^{3} - 84 x$ .

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Step 1.1

Factor $4 x$ out of $92 x^{4}$ .

$\frac{4 x (23 x^{3}) - 56 x^{3} - 84 x}{- 4 x}$

Step 1.2

Factor $4 x$ out of $- 56 x^{3}$ .

$\frac{4 x (23 x^{3}) + 4 x (- 14 x^{2}) - 84 x}{- 4 x}$

Step 1.3

Factor $4 x$ out of $- 84 x$ .

$\frac{4 x (23 x^{3}) + 4 x (- 14 x^{2}) + 4 x (- 21)}{- 4 x}$

Step 1.4

Factor $4 x$ out of $4 x (23 x^{3}) + 4 x (- 14 x^{2})$ .

$\frac{4 x (23 x^{3} - 14 x^{2}) + 4 x (- 21)}{- 4 x}$

Step 1.5

Factor $4 x$ out of $4 x (23 x^{3} - 14 x^{2}) + 4 x (- 21)$ .

$\frac{4 x (23 x^{3} - 14 x^{2} - 21)}{- 4 x}$

Step 2

Cancel the common factor of $4$ and $- 4$ .

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Step 2.1

Factor $4$ out of $4 x (23 x^{3} - 14 x^{2} - 21)$ .

$\frac{4 (x (23 x^{3} - 14 x^{2} - 21))}{- 4 x}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $4$ out of $- 4 x$ .

$\frac{4 (x (23 x^{3} - 14 x^{2} - 21))}{4 (- x)}$

Step 2.2.2

Cancel the common factor.

$\frac{4 (x (23 x^{3} - 14 x^{2} - 21))}{4 (- x)}$

Step 2.2.3

Rewrite the expression.

$\frac{x (23 x^{3} - 14 x^{2} - 21)}{- x}$

Step 3

Cancel the common factor of $x$ .

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Step 3.1

Cancel the common factor.

$\frac{x (23 x^{3} - 14 x^{2} - 21)}{- x}$

Step 3.2

Rewrite the expression.

$\frac{23 x^{3} - 14 x^{2} - 21}{- 1}$

Step 3.3

Move the negative one from the denominator of $\frac{23 x^{3} - 14 x^{2} - 21}{- 1}$ .

$- 1 \cdot (23 x^{3} - 14 x^{2} - 21)$

Step 4

Rewrite $- 1 \cdot (23 x^{3} - 14 x^{2} - 21)$ as $- (23 x^{3} - 14 x^{2} - 21)$ .

$- (23 x^{3} - 14 x^{2} - 21)$

Step 5

Apply the distributive property.

$- (23 x^{3}) - (- 14 x^{2}) - - 21$

Step 6

Simplify.

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Step 6.1

Multiply $23$ by $- 1$ .

$- 23 x^{3} - (- 14 x^{2}) - - 21$

Step 6.2

Multiply $- 14$ by $- 1$ .

$- 23 x^{3} + 14 x^{2} - - 21$

Step 6.3

Multiply $- 1$ by $- 21$ .

$- 23 x^{3} + 14 x^{2} + 21$