Algebra Examples

$\frac{4 - 8 x}{- 28 x + 14}$

Step 1

Cancel the common factor of $4 - 8 x$ and $- 28 x + 14$ .

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Step 1.1

Factor $2$ out of $4$ .

$\frac{2 (2) - 8 x}{- 28 x + 14}$

Step 1.2

Factor $2$ out of $- 8 x$ .

$\frac{2 (2) + 2 (- 4 x)}{- 28 x + 14}$

Step 1.3

Factor $2$ out of $2 (2) + 2 (- 4 x)$ .

$\frac{2 (2 - 4 x)}{- 28 x + 14}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $2$ out of $- 28 x$ .

$\frac{2 (2 - 4 x)}{2 (- 14 x) + 14}$

Step 1.4.2

Factor $2$ out of $14$ .

$\frac{2 (2 - 4 x)}{2 (- 14 x) + 2 \cdot 7}$

Step 1.4.3

Factor $2$ out of $2 (- 14 x) + 2 (7)$ .

$\frac{2 (2 - 4 x)}{2 (- 14 x + 7)}$

Step 1.4.4

Cancel the common factor.

$\frac{2 (2 - 4 x)}{2 (- 14 x + 7)}$

Step 1.4.5

Rewrite the expression.

$\frac{2 - 4 x}{- 14 x + 7}$

$\frac{2 - 4 x}{- 14 x + 7}$

$\frac{2 - 4 x}{- 14 x + 7}$

Step 2

Factor $2$ out of $2 - 4 x$ .

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Step 2.1

Factor $2$ out of $2$ .

$\frac{2 (1) - 4 x}{- 14 x + 7}$

Step 2.2

Factor $2$ out of $- 4 x$ .

$\frac{2 (1) + 2 (- 2 x)}{- 14 x + 7}$

Step 2.3

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

$\frac{2 (1 - 2 x)}{- 14 x + 7}$

$\frac{2 (1 - 2 x)}{- 14 x + 7}$

Step 3

Factor $7$ out of $- 14 x + 7$ .

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Step 3.1

Factor $7$ out of $- 14 x$ .

$\frac{2 (1 - 2 x)}{7 (- 2 x) + 7}$

Step 3.2

Factor $7$ out of $7$ .

$\frac{2 (1 - 2 x)}{7 (- 2 x) + 7 (1)}$

Step 3.3

Factor $7$ out of $7 (- 2 x) + 7 (1)$ .

$\frac{2 (1 - 2 x)}{7 (- 2 x + 1)}$

$\frac{2 (1 - 2 x)}{7 (- 2 x + 1)}$

Step 4

Cancel the common factor of $1 - 2 x$ and $- 2 x + 1$ .

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Step 4.1

Reorder terms.

$\frac{2 (- 2 x + 1)}{7 (- 2 x + 1)}$

Step 4.2

Cancel the common factor.

$\frac{2 (- 2 x + 1)}{7 (- 2 x + 1)}$

Step 4.3

Rewrite the expression.

$\frac{2}{7}$

$\frac{2}{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{7}$

Decimal Form:

$0.\overline{285714}$

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