Algebra Examples

$\frac{3 (5 - x)}{3 x (x - 5)}$

Step 1

Cancel the common factor of $3$ .

Tap for more steps...

Step 1.1

Cancel the common factor.

$\frac{3 (5 - x)}{3 x (x - 5)}$

Step 1.2

Rewrite the expression.

$\frac{5 - x}{x (x - 5)}$

$\frac{5 - x}{x (x - 5)}$

Step 2

Cancel the common factor of $5 - x$ and $x - 5$ .

Tap for more steps...

Step 2.1

Rewrite $5$ as $- 1 (- 5)$ .

$\frac{- 1 (- 5) - x}{x (x - 5)}$

Step 2.2

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

$\frac{- 1 (- 5) - (x)}{x (x - 5)}$

Step 2.3

Factor $- 1$ out of $- 1 (- 5) - (x)$ .

$\frac{- 1 (- 5 + x)}{x (x - 5)}$

Step 2.4

Reorder terms.

$\frac{- 1 (x - 5)}{x (x - 5)}$

Step 2.5

Cancel the common factor.

$\frac{- 1 (x - 5)}{x (x - 5)}$

Step 2.6

Rewrite the expression.

$\frac{- 1}{x}$

$\frac{- 1}{x}$

Step 3

Move the negative in front of the fraction.

$- \frac{1}{x}$

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