Calculus Examples

$- 30 x^{3} = 0$

Step 1

Divide each term in $- 30 x^{3} = 0$ by $- 30$ and simplify.

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Step 1.1

Divide each term in $- 30 x^{3} = 0$ by $- 30$ .

$\frac{- 30 x^{3}}{- 30} = \frac{0}{- 30}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $- 30$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{- 30 x^{3}}{- 30} = \frac{0}{- 30}$

Step 1.2.1.2

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

$x^{3} = \frac{0}{- 30}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $0$ by $- 30$ .

$x^{3} = 0$

Step 2

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

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

Step 3

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

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Step 3.1

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

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

Step 3.2

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

$x = 0$