Find the Excluded Values (-12d-1)/(10d+5)

$\frac{- 12 d - 1}{10 d + 5}$

Step 1

Set the denominator in $\frac{- 12 d - 1}{10 d + 5}$ equal to $0$ to find where the expression is undefined.

$10 d + 5 = 0$

Step 2

Solve for $d$ .

Subtract $5$ from both sides of the equation.

$10 d = - 5$

Divide each term in $10 d = - 5$ by $10$ and simplify.

Divide each term in $10 d = - 5$ by $10$ .

$\frac{10 d}{10} = \frac{- 5}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 d}{10} = \frac{- 5}{10}$

Divide $d$ by $1$ .

$d = \frac{- 5}{10}$

Simplify the right side.

Cancel the common factor of $- 5$ and $10$ .

Factor $5$ out of $- 5$ .

$d = \frac{5 (- 1)}{10}$

Cancel the common factors.

Factor $5$ out of $10$ .

$d = \frac{5 \cdot - 1}{5 \cdot 2}$

Cancel the common factor.

$d = \frac{5 \cdot - 1}{5 \cdot 2}$

Rewrite the expression.

$d = \frac{- 1}{2}$

Move the negative in front of the fraction.

$d = - \frac{1}{2}$

Step 3