Basic Math Examples

$\frac{- 7 z}{14 z^{2} - 49 z}$

Step 1

Factor $7 z$ out of $14 z^{2} - 49 z$ .

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Step 1.1

Factor $7 z$ out of $14 z^{2}$ .

$\frac{- 7 z}{7 z (2 z) - 49 z}$

Step 1.2

Factor $7 z$ out of $- 49 z$ .

$\frac{- 7 z}{7 z (2 z) + 7 z (- 7)}$

Step 1.3

Factor $7 z$ out of $7 z (2 z) + 7 z (- 7)$ .

$\frac{- 7 z}{7 z (2 z - 7)}$

$\frac{- 7 z}{7 z (2 z - 7)}$

Step 2

Cancel the common factor of $- 7$ and $7$ .

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Step 2.1

Factor $7$ out of $- 7 z$ .

$\frac{7 (- z)}{7 z (2 z - 7)}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $7$ out of $7 z (2 z - 7)$ .

$\frac{7 (- z)}{7 (z (2 z - 7))}$

Step 2.2.2

Cancel the common factor.

$\frac{7 (- z)}{7 (z (2 z - 7))}$

Step 2.2.3

Rewrite the expression.

$\frac{- z}{z (2 z - 7)}$

$\frac{- z}{z (2 z - 7)}$

$\frac{- z}{z (2 z - 7)}$

Step 3

Cancel the common factor of $z$ .

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Step 3.1

Cancel the common factor.

$\frac{- z}{z (2 z - 7)}$

Step 3.2

Rewrite the expression.

$\frac{- 1}{2 z - 7}$

$\frac{- 1}{2 z - 7}$

Step 4

Move the negative in front of the fraction.

$- \frac{1}{2 z - 7}$

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