Basic Math Examples

$5 \cdot (2^{2} - 6) - (7 \cdot 2 + 4) \div 6$

Step 1

Simplify each term.

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Step 1.1

Raise $2$ to the power of $2$ .

$5 \cdot (4 - 6) - (7 \cdot 2 + 4) \div 6$

Step 1.2

Subtract $6$ from $4$ .

$5 \cdot - 2 - (7 \cdot 2 + 4) \div 6$

Step 1.3

Multiply $5$ by $- 2$ .

$- 10 - (7 \cdot 2 + 4) \div 6$

Step 1.4

Rewrite the division as a fraction.

$- 10 - \frac{7 \cdot 2 + 4}{6}$

Step 1.5

Cancel the common factor of $7 \cdot 2 + 4$ and $6$ .

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Step 1.5.1

Factor $2$ out of $7 \cdot 2$ .

$- 10 - \frac{2 \cdot 7 + 4}{6}$

Step 1.5.2

Factor $2$ out of $4$ .

$- 10 - \frac{2 \cdot 7 + 2 \cdot 2}{6}$

Step 1.5.3

Factor $2$ out of $2 \cdot 7 + 2 \cdot 2$ .

$- 10 - \frac{2 \cdot (7 + 2)}{6}$

Step 1.5.4

Cancel the common factors.

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Step 1.5.4.1

Factor $2$ out of $6$ .

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

Step 1.5.4.2

Cancel the common factor.

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

Step 1.5.4.3

Rewrite the expression.

$- 10 - \frac{7 + 2}{3}$

$- 10 - \frac{7 + 2}{3}$

$- 10 - \frac{7 + 2}{3}$

Step 1.6

Add $7$ and $2$ .

$- 10 - \frac{9}{3}$

Step 1.7

Divide $9$ by $3$ .

$- 10 - 1 \cdot 3$

Step 1.8

Multiply $- 1$ by $3$ .

$- 10 - 3$

$- 10 - 3$

Step 2

Subtract $3$ from $- 10$ .

$- 13$

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