Algebra Examples

$- 5 (2 x - 6) + 25 x$

Step 1

Factor $- 5$ out of $- 5 (2 x - 6) + 25 x$ .

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Step 1.1

Factor $- 5$ out of $25 x$ .

$- 5 (2 x - 6) - 5 (- 5 x)$

Step 1.2

Factor $- 5$ out of $- 5 (2 x - 6) - 5 (- 5 x)$ .

$- 5 (2 x - 6 - 5 x)$

$- 5 (2 x - 6 - 5 x)$

Step 2

Subtract $5 x$ from $2 x$ .

$- 5 (- 3 x - 6)$

Step 3

Factor.

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Step 3.1

Factor $3$ out of $- 3 x - 6$ .

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Step 3.1.1

Factor $3$ out of $- 3 x$ .

$- 5 (3 (- x) - 6)$

Step 3.1.2

Factor $3$ out of $- 6$ .

$- 5 (3 (- x) + 3 (- 2))$

Step 3.1.3

Factor $3$ out of $3 (- x) + 3 (- 2)$ .

$- 5 (3 (- x - 2))$

$- 5 (3 (- x - 2))$

Step 3.2

Remove unnecessary parentheses.

$- 5 \cdot 3 (- x - 2)$

$- 5 \cdot 3 (- x - 2)$

Step 4

Multiply $- 5$ by $3$ .

$- 15 (- x - 2)$

Step 5

Factor.

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Step 5.1

Factor $- 1$ out of $- x - 2$ .

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Step 5.1.1

Factor $- 1$ out of $- x$ .

$- 15 (- (x) - 2)$

Step 5.1.2

Rewrite $- 2$ as $- 1 (2)$ .

$- 15 (- (x) - 1 (2))$

Step 5.1.3

Factor $- 1$ out of $- (x) - 1 (2)$ .

$- 15 (- (x + 2))$

$- 15 (- (x + 2))$

Step 5.2

Remove unnecessary parentheses.

$- 15 \cdot - 1 (x + 2)$

$- 15 \cdot - 1 (x + 2)$

Step 6

Combine exponents.

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Step 6.1

Factor out negative.

$- (- 15 (x + 2))$

Step 6.2

Multiply $- 15$ by $- 1$ .

$15 (x + 2)$

$15 (x + 2)$

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