Algebra Examples

$(- 4) \cdot 2 - 32 \div (12 - 4)$

Step 1

Simplify each term.

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Step 1.1

Multiply $- 4$ by $2$ .

$- 8 - 32 \div (12 - 4)$

Step 1.2

Rewrite the division as a fraction.

$- 8 - \frac{32}{12 - 4}$

Step 1.3

Cancel the common factor of $32$ and $12 - 4$ .

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Step 1.3.1

Factor $4$ out of $32$ .

$- 8 - \frac{4 (8)}{12 - 4}$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Factor $4$ out of $12$ .

$- 8 - \frac{4 \cdot 8}{4 \cdot 3 - 4}$

Step 1.3.2.2

Factor $4$ out of $- 4$ .

$- 8 - \frac{4 (8)}{4 \cdot 3 + 4 \cdot - 1}$

Step 1.3.2.3

Factor $4$ out of $4 \cdot 3 + 4 \cdot - 1$ .

$- 8 - \frac{4 (8)}{4 \cdot (3 - 1)}$

Step 1.3.2.4

Cancel the common factor.

$- 8 - \frac{4 \cdot 8}{4 \cdot (3 - 1)}$

Step 1.3.2.5

Rewrite the expression.

$- 8 - \frac{8}{3 - 1}$

$- 8 - \frac{8}{3 - 1}$

$- 8 - \frac{8}{3 - 1}$

Step 1.4

Subtract $1$ from $3$ .

$- 8 - \frac{8}{2}$

Step 1.5

Divide $8$ by $2$ .

$- 8 - 1 \cdot 4$

Step 1.6

Multiply $- 1$ by $4$ .

$- 8 - 4$

$- 8 - 4$

Step 2

Subtract $4$ from $- 8$ .

$- 12$

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