Algebra Examples

$5 x^{2} - 5 x - 10$

Step 1

Factor $5$ out of $5 x^{2} - 5 x - 10$ .

Tap for more steps...

Step 1.1

Factor $5$ out of $5 x^{2}$ .

$5 (x^{2}) - 5 x - 10$

Step 1.2

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

$5 (x^{2}) + 5 (- x) - 10$

Step 1.3

Factor $5$ out of $- 10$ .

$5 (x^{2}) + 5 (- x) + 5 (- 2)$

Step 1.4

Factor $5$ out of $5 (x^{2}) + 5 (- x)$ .

$5 (x^{2} - x) + 5 (- 2)$

Step 1.5

Factor $5$ out of $5 (x^{2} - x) + 5 (- 2)$ .

$5 (x^{2} - x - 2)$

Step 2

Factor.

Tap for more steps...

Step 2.1

Factor $x^{2} - x - 2$ using the AC method.

Tap for more steps...

Step 2.1.1

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $- 2$ and whose sum is $- 1$ .

$- 2, 1$

Step 2.1.2

Write the factored form using these integers.

$5 ((x - 2) (x + 1))$

Step 2.2

Remove unnecessary parentheses.

$5 (x - 2) (x + 1)$