Finite Math Examples

\frac{x - 7}{x^{2} - 7 x}

$\frac{x - 7}{x^{2} - 7 x}$

Step 1

Factor

x

$x$ out of

x^{2} - 7 x

$x^{2} - 7 x$ .

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Step 1.1

Factor

x

$x$ out of

x^{2}

$x^{2}$ .

\frac{x - 7}{x \cdot x - 7 x}

$\frac{x - 7}{x \cdot x - 7 x}$

Step 1.2

Factor

x

$x$ out of

- 7 x

$- 7 x$ .

\frac{x - 7}{x \cdot x + x \cdot - 7}

$\frac{x - 7}{x \cdot x + x \cdot - 7}$

Step 1.3

Factor

x

$x$ out of

x \cdot x + x \cdot - 7

$x \cdot x + x \cdot - 7$ .

\frac{x - 7}{x (x - 7)}

$\frac{x - 7}{x (x - 7)}$

\frac{x - 7}{x (x - 7)}

$\frac{x - 7}{x (x - 7)}$

Step 2

Reduce the expression

\frac{x - 7}{x (x - 7)}

$\frac{x - 7}{x (x - 7)}$ by cancelling the common factors.

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Step 2.1

Cancel the common factor.

$\frac{x - 7}{x (x - 7)}$

Step 2.2

Rewrite the expression.

$\frac{1}{x}$

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