Finite Math Examples

$\frac{- 2 x - 4 x y z}{2 x y - 4 x^{2}}$

Step 1

Factor $- 2 x$ out of $- 2 x - 4 x y z$ .

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Step 1.1

Reorder $- 2 x$ and $- 4 x y z$ .

$\frac{- 4 x y z - 2 x}{2 x y - 4 x^{2}}$

Step 1.2

Factor $- 2 x$ out of $- 4 x y z$ .

$\frac{- 2 x (2 y z) - 2 x}{2 x y - 4 x^{2}}$

Step 1.3

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

$\frac{- 2 x (2 y z) - 2 x (1)}{2 x y - 4 x^{2}}$

Step 1.4

Factor $- 2 x$ out of $- 2 x (2 y z) - 2 x (1)$ .

$\frac{- 2 x (2 y z + 1)}{2 x y - 4 x^{2}}$

Step 2

Factor $2 x$ out of $2 x y - 4 x^{2}$ .

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Step 2.1

Factor $2 x$ out of $2 x y$ .

$\frac{- 2 x (2 y z + 1)}{2 x (y) - 4 x^{2}}$

Step 2.2

Factor $2 x$ out of $- 4 x^{2}$ .

$\frac{- 2 x (2 y z + 1)}{2 x (y) + 2 x (- 2 x)}$

Step 2.3

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

$\frac{- 2 x (2 y z + 1)}{2 x (y - 2 x)}$

Step 3

Reduce the expression $\frac{- 2 x (2 y z + 1)}{2 x (y - 2 x)}$ by cancelling the common factors.

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Step 3.1

Factor $2$ out of $- 2 x (2 y z + 1)$ .

$\frac{2 (- x (2 y z + 1))}{2 x (y - 2 x)}$

Step 3.2

Factor $2$ out of $2 x (y - 2 x)$ .

$\frac{2 (- x (2 y z + 1))}{2 (x (y - 2 x))}$

Step 3.3

Cancel the common factor.

$\frac{2 (- x (2 y z + 1))}{2 (x (y - 2 x))}$

Step 3.4

Rewrite the expression.

$\frac{- x (2 y z + 1)}{x (y - 2 x)}$

Step 4

Reduce the expression $\frac{- x (2 y z + 1)}{x (y - 2 x)}$ by cancelling the common factors.

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Step 4.1

Cancel the common factor.

$\frac{- x (2 y z + 1)}{x (y - 2 x)}$

Step 4.2

Rewrite the expression.

$\frac{- 1 (2 y z + 1)}{y - 2 x}$