Find the Excluded Values (-7z)/(4z+1)

$\frac{- 7 z}{4 z + 1}$

Set the denominator in $\frac{- 7 z}{4 z + 1}$ equal to $0$ to find where the expression is undefined.

$4 z + 1 = 0$

Solve for $z$ .

Subtract $1$ from both sides of the equation.

$4 z = - 1$

Divide each term in $4 z = - 1$ by $4$ and simplify.

Divide each term in $4 z = - 1$ by $4$ .

$\frac{4 z}{4} = \frac{- 1}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 z}{4} = \frac{- 1}{4}$

Divide $z$ by $1$ .

$z = \frac{- 1}{4}$

Simplify the right side.

Move the negative in front of the fraction.

$z = - \frac{1}{4}$