Algebra Examples

$f (7) = \frac{7 - 12}{4 (7) + 2}$

Step 1

Subtract $12$ from $7$ .

$f (7) = \frac{- 5}{4 (7) + 2}$

Step 2

Simplify the denominator.

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Step 2.1

Multiply $4$ by $7$ .

$f (7) = \frac{- 5}{28 + 2}$

Step 2.2

Add $28$ and $2$ .

$f (7) = \frac{- 5}{30}$

$f (7) = \frac{- 5}{30}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Cancel the common factor of $- 5$ and $30$ .

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Step 3.1.1

Factor $5$ out of $- 5$ .

$f (7) = \frac{5 (- 1)}{30}$

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $5$ out of $30$ .

$f (7) = \frac{5 \cdot - 1}{5 \cdot 6}$

Step 3.1.2.2

Cancel the common factor.

$f (7) = \frac{5 \cdot - 1}{5 \cdot 6}$

Step 3.1.2.3

Rewrite the expression.

$f (7) = \frac{- 1}{6}$

$f (7) = \frac{- 1}{6}$

$f (7) = \frac{- 1}{6}$

Step 3.2

Move the negative in front of the fraction.

$f (7) = - \frac{1}{6}$

$f (7) = - \frac{1}{6}$

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