Pre-Algebra Examples

$\frac{20 x - 30 x^{2} + 45 x - 10}{5}$

Step 1

Cancel the common factor of $20 x - 30 x^{2} + 45 x - 10$ and $5$ .

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Step 1.1

Factor $5$ out of $20 x$ .

$\frac{5 (4 x) - 30 x^{2} + 45 x - 10}{5}$

Step 1.2

Factor $5$ out of $- 30 x^{2}$ .

$\frac{5 (4 x) + 5 (- 6 x^{2}) + 45 x - 10}{5}$

Step 1.3

Factor $5$ out of $5 (4 x) + 5 (- 6 x^{2})$ .

$\frac{5 (4 x - 6 x^{2}) + 45 x - 10}{5}$

Step 1.4

Factor $5$ out of $45 x$ .

$\frac{5 (4 x - 6 x^{2}) + 5 (9 x) - 10}{5}$

Step 1.5

Factor $5$ out of $5 (4 x - 6 x^{2}) + 5 (9 x)$ .

$\frac{5 (4 x - 6 x^{2} + 9 x) - 10}{5}$

Step 1.6

Factor $5$ out of $- 10$ .

$\frac{5 (4 x - 6 x^{2} + 9 x) + 5 \cdot - 2}{5}$

Step 1.7

Factor $5$ out of $5 (4 x - 6 x^{2} + 9 x) + 5 (- 2)$ .

$\frac{5 (4 x - 6 x^{2} + 9 x - 2)}{5}$

Step 1.8

Cancel the common factors.

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Step 1.8.1

Factor $5$ out of $5$ .

$\frac{5 (4 x - 6 x^{2} + 9 x - 2)}{5 (1)}$

Step 1.8.2

Cancel the common factor.

$\frac{5 (4 x - 6 x^{2} + 9 x - 2)}{5 \cdot 1}$

Step 1.8.3

Rewrite the expression.

$\frac{4 x - 6 x^{2} + 9 x - 2}{1}$

Step 1.8.4

Divide $4 x - 6 x^{2} + 9 x - 2$ by $1$ .

$4 x - 6 x^{2} + 9 x - 2$

Step 2

Add $4 x$ and $9 x$ .

$- 6 x^{2} + 13 x - 2$