Finite Math Examples

$f (4) = - 2 x - 2$

Step 1

Divide each term in $f (4) = - 2 x - 2$ by $4$ .

$\frac{f \cdot 4}{4} = \frac{- 2 x}{4} + \frac{- 2}{4}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $4$ .

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Step 2.1.1

Cancel the common factor.

$\frac{f \cdot 4}{4} = \frac{- 2 x}{4} + \frac{- 2}{4}$

Step 2.1.2

Divide $f$ by $1$ .

$f = \frac{- 2 x}{4} + \frac{- 2}{4}$

Step 3

Simplify the right side.

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Step 3.1

Simplify each term.

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Step 3.1.1

Cancel the common factor of $- 2$ and $4$ .

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Step 3.1.1.1

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

$f = \frac{2 (- x)}{4} + \frac{- 2}{4}$

Step 3.1.1.2

Cancel the common factors.

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Step 3.1.1.2.1

Factor $2$ out of $4$ .

$f = \frac{2 (- x)}{2 (2)} + \frac{- 2}{4}$

Step 3.1.1.2.2

Cancel the common factor.

$f = \frac{2 (- x)}{2 \cdot 2} + \frac{- 2}{4}$

Step 3.1.1.2.3

Rewrite the expression.

$f = \frac{- x}{2} + \frac{- 2}{4}$

Step 3.1.2

Move the negative in front of the fraction.

$f = - \frac{x}{2} + \frac{- 2}{4}$

Step 3.1.3

Cancel the common factor of $- 2$ and $4$ .

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Step 3.1.3.1

Factor $2$ out of $- 2$ .

$f = - \frac{x}{2} + \frac{2 (- 1)}{4}$

Step 3.1.3.2

Cancel the common factors.

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Step 3.1.3.2.1

Factor $2$ out of $4$ .

$f = - \frac{x}{2} + \frac{2 \cdot - 1}{2 \cdot 2}$

Step 3.1.3.2.2

Cancel the common factor.

$f = - \frac{x}{2} + \frac{2 \cdot - 1}{2 \cdot 2}$

Step 3.1.3.2.3

Rewrite the expression.

$f = - \frac{x}{2} + \frac{- 1}{2}$

Step 3.1.4

Move the negative in front of the fraction.

$f = - \frac{x}{2} - \frac{1}{2}$