Algebra Examples

$\frac{- 6 - 18 x}{6 x + 2}$

Step 1

Cancel the common factor of $- 6 - 18 x$ and $6 x + 2$ .

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Step 1.1

Factor $2$ out of $- 6$ .

$\frac{2 \cdot - 3 - 18 x}{6 x + 2}$

Step 1.2

Factor $2$ out of $- 18 x$ .

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

Step 1.3

Factor $2$ out of $2 (- 3) + 2 (- 9 x)$ .

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

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $2$ out of $6 x$ .

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

Step 1.4.2

Factor $2$ out of $2$ .

$\frac{2 (- 3 - 9 x)}{2 (3 x) + 2 (1)}$

Step 1.4.3

Factor $2$ out of $2 (3 x) + 2 (1)$ .

$\frac{2 (- 3 - 9 x)}{2 (3 x + 1)}$

Step 1.4.4

Cancel the common factor.

$\frac{2 (- 3 - 9 x)}{2 (3 x + 1)}$

Step 1.4.5

Rewrite the expression.

$\frac{- 3 - 9 x}{3 x + 1}$

$\frac{- 3 - 9 x}{3 x + 1}$

$\frac{- 3 - 9 x}{3 x + 1}$

Step 2

Factor $3$ out of $- 3 - 9 x$ .

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Step 2.1

Factor $3$ out of $- 3$ .

$\frac{3 (- 1) - 9 x}{3 x + 1}$

Step 2.2

Factor $3$ out of $- 9 x$ .

$\frac{3 (- 1) + 3 (- 3 x)}{3 x + 1}$

Step 2.3

Factor $3$ out of $3 (- 1) + 3 (- 3 x)$ .

$\frac{3 (- 1 - 3 x)}{3 x + 1}$

$\frac{3 (- 1 - 3 x)}{3 x + 1}$

Step 3

Cancel the common factor of $- 1 - 3 x$ and $3 x + 1$ .

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Step 3.1

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

$\frac{3 (- 1 (1) - 3 x)}{3 x + 1}$

Step 3.2

Factor $- 1$ out of $- 3 x$ .

$\frac{3 (- 1 (1) - (3 x))}{3 x + 1}$

Step 3.3

Factor $- 1$ out of $- 1 (1) - (3 x)$ .

$\frac{3 (- 1 (1 + 3 x))}{3 x + 1}$

Step 3.4

Reorder terms.

$\frac{3 (- 1 (3 x + 1))}{3 x + 1}$

Step 3.5

Cancel the common factor.

$\frac{3 (- 1 (3 x + 1))}{3 x + 1}$

Step 3.6

Divide $3 \cdot (- 1)$ by $1$ .

$3 \cdot (- 1)$

$3 \cdot (- 1)$

Step 4

Multiply $3$ by $- 1$ .

$- 3$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$