Algebra Examples

$\frac{5 x (2 x + 1)}{7 x (8 x + 4)}$

Step 1

Cancel the common factor of $x$ .

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Step 1.1

Cancel the common factor.

$\frac{5 x (2 x + 1)}{7 x (8 x + 4)}$

Step 1.2

Rewrite the expression.

$\frac{5 (2 x + 1)}{7 (8 x + 4)}$

$\frac{5 (2 x + 1)}{7 (8 x + 4)}$

Step 2

Simplify the denominator.

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Step 2.1

Factor $4$ out of $8 x + 4$ .

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Step 2.1.1

Factor $4$ out of $8 x$ .

$\frac{5 (2 x + 1)}{7 (4 (2 x) + 4)}$

Step 2.1.2

Factor $4$ out of $4$ .

$\frac{5 (2 x + 1)}{7 (4 (2 x) + 4 (1))}$

Step 2.1.3

Factor $4$ out of $4 (2 x) + 4 (1)$ .

$\frac{5 (2 x + 1)}{7 (4 (2 x + 1))}$

$\frac{5 (2 x + 1)}{7 \cdot 4 (2 x + 1)}$

Step 2.2

Multiply $7$ by $4$ .

$\frac{5 (2 x + 1)}{28 (2 x + 1)}$

$\frac{5 (2 x + 1)}{28 (2 x + 1)}$

Step 3

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

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Step 3.1

Cancel the common factor.

$\frac{5 (2 x + 1)}{28 (2 x + 1)}$

Step 3.2

Rewrite the expression.

$\frac{5}{28}$

$\frac{5}{28}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{28}$

Decimal Form:

$0.17857142 \dots$

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