Basic Math Examples

$3 d + 6 d + 5 d - 1$

Step 1

Regroup terms.

$- 1 + 3 d + 6 d + 5 d$

Step 2

Add $3 d$ and $6 d$ .

$- 1 + 9 d + 5 d$

Step 3

Add $9 d$ and $5 d$ .

$- 1 + 14 d$

Step 4

Factor $- 1$ out of $- 1 + 14 d$ .

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Step 4.1

Reorder $- 1$ and $14 d$ .

$14 d - 1$

Step 4.2

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

$- (- 14 d) - 1$

Step 4.3

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

$- (- 14 d) - 1 (1)$

Step 4.4

Factor $- 1$ out of $- (- 14 d) - 1 (1)$ .

$- (- 14 d + 1)$

$- (- 14 d + 1)$

Step 5

Factor.

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Step 5.1

Factor $- 1$ out of $- 14 d + 1$ .

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Step 5.1.1

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

$- (- (14 d) + 1)$

Step 5.1.2

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

$- (- (14 d) - 1 (- 1))$

Step 5.1.3

Factor $- 1$ out of $- (14 d) - 1 (- 1)$ .

$- - (14 d - 1)$

$- - (14 d - 1)$

Step 5.2

Remove unnecessary parentheses.

$- - 1 (14 d - 1)$

$- - 1 (14 d - 1)$

Step 6

Combine exponents.

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Step 6.1

Factor out negative.

$- - (14 d - 1)$

Step 6.2

Multiply $- 1$ by $- 1$ .

$1 (14 d - 1)$

Step 6.3

Multiply $14 d - 1$ by $1$ .

$14 d - 1$

$14 d - 1$

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