Algebra Examples

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

Step 1

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

$4 z + 1 = 0$

Step 2

Solve for $z$ .

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Step 2.1

Subtract $1$ from both sides of the equation.

$4 z = - 1$

Step 2.2

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

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Step 2.2.1

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

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

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $4$ .

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Step 2.2.2.1.1

Cancel the common factor.

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

Step 2.2.2.1.2

Divide $z$ by $1$ .

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

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Move the negative in front of the fraction.

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

Step 3