Basic Math Examples

$- 3.5 (2 - 3 n) - 2.5 n$

Step 1

Factor $- 0.5$ out of $- 3.5 (2 - 3 n) - 2.5 n$ .

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Step 1.1

Reorder $2$ and $- 3 n$ .

$- 3.5 (- 3 n + 2) - 2.5 n$

Step 1.2

Factor $- 0.5$ out of $- 3.5 (- 3 n + 2)$ .

$- 0.5 (7 (- 3 n + 2)) - 2.5 n$

Step 1.3

Factor $- 0.5$ out of $- 2.5 n$ .

$- 0.5 (7 (- 3 n + 2)) - 0.5 (5 n)$

Step 1.4

Factor $- 0.5$ out of $- 0.5 (7 (- 3 n + 2)) - 0.5 (5 n)$ .

$- 0.5 (7 (- 3 n + 2) + 5 n)$

$- 0.5 (7 (- 3 n + 2) + 5 n)$

Step 2

Apply the distributive property.

$- 0.5 (7 (- 3 n) + 7 \cdot 2 + 5 n)$

Step 3

Multiply $- 3$ by $7$ .

$- 0.5 (- 21 n + 7 \cdot 2 + 5 n)$

Step 4

Multiply $7$ by $2$ .

$- 0.5 (- 21 n + 14 + 5 n)$

Step 5

Add $- 21 n$ and $5 n$ .

$- 0.5 (- 16 n + 14)$

Step 6

Factor.

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Step 6.1

Factor $2$ out of $- 16 n + 14$ .

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Step 6.1.1

Factor $2$ out of $- 16 n$ .

$- 0.5 (2 (- 8 n) + 14)$

Step 6.1.2

Factor $2$ out of $14$ .

$- 0.5 (2 (- 8 n) + 2 (7))$

Step 6.1.3

Factor $2$ out of $2 (- 8 n) + 2 (7)$ .

$- 0.5 (2 (- 8 n + 7))$

$- 0.5 (2 (- 8 n + 7))$

Step 6.2

Remove unnecessary parentheses.

$- 0.5 \cdot 2 (- 8 n + 7)$

$- 0.5 \cdot 2 (- 8 n + 7)$

Step 7

Multiply $- 0.5$ by $2$ .

$- (- 8 n + 7)$

Step 8

Factor.

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Step 8.1

Factor $- 1$ out of $- 8 n + 7$ .

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Step 8.1.1

Factor $- 1$ out of $- 8 n$ .

$- (- (8 n) + 7)$

Step 8.1.2

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

$- (- (8 n) - 1 (- 7))$

Step 8.1.3

Factor $- 1$ out of $- (8 n) - 1 (- 7)$ .

$- - (8 n - 7)$

$- - (8 n - 7)$

Step 8.2

Remove unnecessary parentheses.

$- - 1 (8 n - 7)$

$- - 1 (8 n - 7)$

Step 9

Combine exponents.

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Step 9.1

Factor out negative.

$- - (8 n - 7)$

Step 9.2

Multiply $- 1$ by $- 1$ .

$1 (8 n - 7)$

Step 9.3

Multiply $8 n - 7$ by $1$ .

$8 n - 7$

$8 n - 7$

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