Algebra Examples

$\frac{39 z^{4} + 39 z^{3}}{13 z^{3}}$

Step 1

Set the denominator in $\frac{39 z^{4} + 39 z^{3}}{13 z^{3}}$ equal to $0$ to find where the expression is undefined.

$13 z^{3} = 0$

Step 2

Solve for $z$ .

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Step 2.1

Divide each term in $13 z^{3} = 0$ by $13$ and simplify.

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Step 2.1.1

Divide each term in $13 z^{3} = 0$ by $13$ .

$\frac{13 z^{3}}{13} = \frac{0}{13}$

Step 2.1.2

Simplify the left side.

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Step 2.1.2.1

Cancel the common factor of $13$ .

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Step 2.1.2.1.1

Cancel the common factor.

$\frac{13 z^{3}}{13} = \frac{0}{13}$

Step 2.1.2.1.2

Divide $z^{3}$ by $1$ .

$z^{3} = \frac{0}{13}$

Step 2.1.3

Simplify the right side.

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Step 2.1.3.1

Divide $0$ by $13$ .

$z^{3} = 0$

Step 2.2

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$z = \sqrt[3]{0}$

Step 2.3

Simplify $\sqrt[3]{0}$ .

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Step 2.3.1

Rewrite $0$ as $0^{3}$ .

$z = \sqrt[3]{0^{3}}$

Step 2.3.2

Pull terms out from under the radical, assuming real numbers.

$z = 0$

Step 3