Basic Math Examples

$(- 6 j - 42) \div (j + 7)$

Step 1

Rewrite the division as a fraction.

$\frac{- 6 j - 42}{j + 7}$

Step 2

Factor $6$ out of $- 6 j - 42$ .

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Step 2.1

Factor $6$ out of $- 6 j$ .

$\frac{6 (- j) - 42}{j + 7}$

Step 2.2

Factor $6$ out of $- 42$ .

$\frac{6 (- j) + 6 (- 7)}{j + 7}$

Step 2.3

Factor $6$ out of $6 (- j) + 6 (- 7)$ .

$\frac{6 (- j - 7)}{j + 7}$

$\frac{6 (- j - 7)}{j + 7}$

Step 3

Cancel the common factor of $- j - 7$ and $j + 7$ .

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Step 3.1

Factor $- 1$ out of $- j$ .

$\frac{6 (- (j) - 7)}{j + 7}$

Step 3.2

Rewrite $- 7$ as $- 1 (7)$ .

$\frac{6 (- (j) - 1 (7))}{j + 7}$

Step 3.3

Factor $- 1$ out of $- (j) - 1 (7)$ .

$\frac{6 (- (j + 7))}{j + 7}$

Step 3.4

Rewrite $- (j + 7)$ as $- 1 (j + 7)$ .

$\frac{6 (- 1 (j + 7))}{j + 7}$

Step 3.5

Cancel the common factor.

$\frac{6 (- 1 (j + 7))}{j + 7}$

Step 3.6

Divide $6 \cdot (- 1)$ by $1$ .

$6 \cdot (- 1)$

$6 \cdot (- 1)$

Step 4

Multiply $6$ by $- 1$ .

$- 6$

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