Basic Math Examples

$\frac{6 t - 42}{7 - t}$

Step 1

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

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Step 1.1

Factor $6$ out of $6 t$ .

$\frac{6 (t) - 42}{7 - t}$

Step 1.2

Factor $6$ out of $- 42$ .

$\frac{6 t + 6 \cdot - 7}{7 - t}$

Step 1.3

Factor $6$ out of $6 t + 6 \cdot - 7$ .

$\frac{6 (t - 7)}{7 - t}$

$\frac{6 (t - 7)}{7 - t}$

Step 2

Cancel the common factor of $t - 7$ and $7 - t$ .

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Step 2.1

Factor $- 1$ out of $t$ .

$\frac{6 (- 1 (- t) - 7)}{7 - t}$

Step 2.2

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

$\frac{6 (- 1 (- t) - 1 (7))}{7 - t}$

Step 2.3

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

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

Step 2.4

Reorder terms.

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

Step 2.5

Cancel the common factor.

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

Step 2.6

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

$6 \cdot (- 1)$

$6 \cdot (- 1)$

Step 3

Multiply $6$ by $- 1$ .

$- 6$

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