Basic Math Examples

$7 (3 k + 5 j) - 14 k + 12$

Step 1

Factor $- 1$ out of $7 (3 k + 5 j) - 14 k + 12$ .

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Step 1.1

Reorder $3 k$ and $5 j$ .

$7 (5 j + 3 k) - 14 k + 12$

Step 1.2

Factor $- 1$ out of $7 (5 j + 3 k)$ .

$- (- 7 (5 j + 3 k)) - 14 k + 12$

Step 1.3

Factor $- 1$ out of $- 14 k$ .

$- (- 7 (5 j + 3 k)) - (14 k) + 12$

Step 1.4

Rewrite $12$ as $- 1 (- 12)$ .

$- (- 7 (5 j + 3 k)) - (14 k) - 1 (- 12)$

Step 1.5

Factor $- 1$ out of $- (- 7 (5 j + 3 k)) - (14 k)$ .

$- (- 7 (5 j + 3 k) + 14 k) - 1 (- 12)$

Step 1.6

Factor $- 1$ out of $- (- 7 (5 j + 3 k) + 14 k) - 1 (- 12)$ .

$- (- 7 (5 j + 3 k) + 14 k - 12)$

$- (- 7 (5 j + 3 k) + 14 k - 12)$

Step 2

Apply the distributive property.

$- (- 7 (5 j) - 7 (3 k) + 14 k - 12)$

Step 3

Multiply $5$ by $- 7$ .

$- (- 35 j - 7 (3 k) + 14 k - 12)$

Step 4

Multiply $3$ by $- 7$ .

$- (- 35 j - 21 k + 14 k - 12)$

Step 5

Add $- 21 k$ and $14 k$ .

$- (- 35 j - 7 k - 12)$

Step 6

Factor.

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Step 6.1

Factor $- 1$ out of $- 35 j - 7 k - 12$ .

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Step 6.1.1

Factor $- 1$ out of $- 35 j$ .

$- (- (35 j) - 7 k - 12)$

Step 6.1.2

Factor $- 1$ out of $- 7 k$ .

$- (- (35 j) - (7 k) - 12)$

Step 6.1.3

Rewrite $- 12$ as $- 1 (12)$ .

$- (- (35 j) - (7 k) - 1 (12))$

Step 6.1.4

Factor $- 1$ out of $- (35 j) - (7 k)$ .

$- (- (35 j + 7 k) - 1 (12))$

Step 6.1.5

Factor $- 1$ out of $- (35 j + 7 k) - 1 (12)$ .

$- - (35 j + 7 k + 12)$

$- - (35 j + 7 k + 12)$

Step 6.2

Remove unnecessary parentheses.

$- - 1 (35 j + 7 k + 12)$

$- - 1 (35 j + 7 k + 12)$

Step 7

Combine exponents.

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Step 7.1

Factor out negative.

$- - (35 j + 7 k + 12)$

Step 7.2

Multiply $- 1$ by $- 1$ .

$1 (35 j + 7 k + 12)$

Step 7.3

Multiply $35 j + 7 k + 12$ by $1$ .

$35 j + 7 k + 12$

$35 j + 7 k + 12$

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