Pre-Algebra Examples

$\frac{- x}{2 x^{2} - 6 x}$

Step 1

Factor $2 x$ out of $2 x^{2} - 6 x$ .

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Step 1.1

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

$\frac{- x}{2 x (x) - 6 x}$

Step 1.2

Factor $2 x$ out of $- 6 x$ .

$\frac{- x}{2 x (x) + 2 x (- 3)}$

Step 1.3

Factor $2 x$ out of $2 x (x) + 2 x (- 3)$ .

$\frac{- x}{2 x (x - 3)}$

$\frac{- x}{2 x (x - 3)}$

Step 2

Cancel the common factor of $x$ .

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Step 2.1

Cancel the common factor.

$\frac{- x}{2 x (x - 3)}$

Step 2.2

Rewrite the expression.

$\frac{- 1}{2 (x - 3)}$

$\frac{- 1}{2 (x - 3)}$

Step 3

Move the negative in front of the fraction.

$- \frac{1}{2 (x - 3)}$

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