Basic Math Examples

$18 a^{2} + 8 a^{2} x - 45 a - 20 a x + 28 x + 63$

Step 1

Regroup terms.

$18 a^{2} - 45 a + 63 + 8 a^{2} x - 20 a x + 28 x$

Step 2

Factor $9$ out of $18 a^{2} - 45 a + 63$ .

Tap for more steps...

Step 2.1

Factor $9$ out of $18 a^{2}$ .

$9 (2 a^{2}) - 45 a + 63 + 8 a^{2} x - 20 a x + 28 x$

Step 2.2

Factor $9$ out of $- 45 a$ .

$9 (2 a^{2}) + 9 (- 5 a) + 63 + 8 a^{2} x - 20 a x + 28 x$

Step 2.3

Factor $9$ out of $63$ .

$9 (2 a^{2}) + 9 (- 5 a) + 9 (7) + 8 a^{2} x - 20 a x + 28 x$

Step 2.4

Factor $9$ out of $9 (2 a^{2}) + 9 (- 5 a)$ .

$9 (2 a^{2} - 5 a) + 9 (7) + 8 a^{2} x - 20 a x + 28 x$

Step 2.5

Factor $9$ out of $9 (2 a^{2} - 5 a) + 9 (7)$ .

$9 (2 a^{2} - 5 a + 7) + 8 a^{2} x - 20 a x + 28 x$

Step 3

Factor $4 x$ out of $8 a^{2} x - 20 a x + 28 x$ .

Tap for more steps...

Step 3.1

Factor $4 x$ out of $8 a^{2} x$ .

$9 (2 a^{2} - 5 a + 7) + 4 x (2 a^{2}) - 20 a x + 28 x$

Step 3.2

Factor $4 x$ out of $- 20 a x$ .

$9 (2 a^{2} - 5 a + 7) + 4 x (2 a^{2}) + 4 x (- 5 a) + 28 x$

Step 3.3

Factor $4 x$ out of $28 x$ .

$9 (2 a^{2} - 5 a + 7) + 4 x (2 a^{2}) + 4 x (- 5 a) + 4 x (7)$

Step 3.4

Factor $4 x$ out of $4 x (2 a^{2}) + 4 x (- 5 a)$ .

$9 (2 a^{2} - 5 a + 7) + 4 x (2 a^{2} - 5 a) + 4 x (7)$

Step 3.5

Factor $4 x$ out of $4 x (2 a^{2} - 5 a) + 4 x (7)$ .

$9 (2 a^{2} - 5 a + 7) + 4 x (2 a^{2} - 5 a + 7)$

Step 4

Factor $2 a^{2} - 5 a + 7$ out of $9 (2 a^{2} - 5 a + 7) + 4 x (2 a^{2} - 5 a + 7)$ .

Tap for more steps...

Step 4.1

Factor $2 a^{2} - 5 a + 7$ out of $9 (2 a^{2} - 5 a + 7)$ .

$(2 a^{2} - 5 a + 7) \cdot 9 + 4 x (2 a^{2} - 5 a + 7)$

Step 4.2

Factor $2 a^{2} - 5 a + 7$ out of $4 x (2 a^{2} - 5 a + 7)$ .

$(2 a^{2} - 5 a + 7) \cdot 9 + (2 a^{2} - 5 a + 7) (4 x)$

Step 4.3

Factor $2 a^{2} - 5 a + 7$ out of $(2 a^{2} - 5 a + 7) \cdot 9 + (2 a^{2} - 5 a + 7) (4 x)$ .

$(2 a^{2} - 5 a + 7) (9 + 4 x)$