Algebra Examples

$\frac{2 (x - 5)}{2 x (5 - x)}$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Cancel the common factor.

$\frac{2 (x - 5)}{2 x (5 - x)}$

Step 1.2

Rewrite the expression.

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

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

Step 2

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

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Step 2.1

Factor $- 1$ out of $x$ .

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

Step 2.2

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

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

Step 2.3

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

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

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.

$- \frac{1}{x}$

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