Algebra Examples

$(21 x + 6) \cdot \frac{10 x - 50}{21 x + 6}$

Step 1

Factor $10$ out of $10 x - 50$ .

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Step 1.1

Factor $10$ out of $10 x$ .

$(21 x + 6) \cdot \frac{10 (x) - 50}{21 x + 6}$

Step 1.2

Factor $10$ out of $- 50$ .

$(21 x + 6) \cdot \frac{10 x + 10 \cdot - 5}{21 x + 6}$

Step 1.3

Factor $10$ out of $10 x + 10 \cdot - 5$ .

$(21 x + 6) \cdot \frac{10 (x - 5)}{21 x + 6}$

Step 2

Factor $3$ out of $21 x + 6$ .

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Step 2.1

Factor $3$ out of $21 x$ .

$(21 x + 6) \cdot \frac{10 (x - 5)}{3 (7 x) + 6}$

Step 2.2

Factor $3$ out of $6$ .

$(21 x + 6) \cdot \frac{10 (x - 5)}{3 (7 x) + 3 (2)}$

Step 2.3

Factor $3$ out of $3 (7 x) + 3 (2)$ .

$(21 x + 6) \cdot \frac{10 (x - 5)}{3 (7 x + 2)}$

Step 3

Multiply $21 x + 6$ by $\frac{10 (x - 5)}{3 (7 x + 2)}$ .

$\frac{(21 x + 6) (10 (x - 5))}{3 (7 x + 2)}$

Step 4

Cancel the common factor of $21 x + 6$ and $3$ .

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Step 4.1

Factor $3$ out of $(21 x + 6) (10 (x - 5))$ .

$\frac{3 ((7 x + 2) (10 (x - 5)))}{3 (7 x + 2)}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Cancel the common factor.

$\frac{3 ((7 x + 2) (10 (x - 5)))}{3 (7 x + 2)}$

Step 4.2.2

Rewrite the expression.

$\frac{(7 x + 2) (10 (x - 5))}{7 x + 2}$

Step 5

Cancel the common factor of $7 x + 2$ .

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Step 5.1

Cancel the common factor.

$\frac{(7 x + 2) (10 (x - 5))}{7 x + 2}$

Step 5.2

Divide $10 (x - 5)$ by $1$ .

$10 (x - 5)$

Step 6

Apply the distributive property.

$10 x + 10 \cdot - 5$

Step 7

Multiply $10$ by $- 5$ .

$10 x - 50$