Basic Math Examples

$3 r^{3} = 9$

Step 1

Subtract $9$ from both sides of the equation.

$3 r^{3} - 9 = 0$

Step 2

Factor $3$ out of $3 r^{3} - 9$ .

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Step 2.1

Factor $3$ out of $3 r^{3}$ .

$3 (r^{3}) - 9 = 0$

Step 2.2

Factor $3$ out of $- 9$ .

$3 r^{3} + 3 \cdot - 3 = 0$

Step 2.3

Factor $3$ out of $3 r^{3} + 3 \cdot - 3$ .

$3 (r^{3} - 3) = 0$

Step 3

Divide each term in $3 (r^{3} - 3) = 0$ by $3$ and simplify.

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Step 3.1

Divide each term in $3 (r^{3} - 3) = 0$ by $3$ .

$\frac{3 (r^{3} - 3)}{3} = \frac{0}{3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{3 (r^{3} - 3)}{3} = \frac{0}{3}$

Step 3.2.1.2

Divide $r^{3} - 3$ by $1$ .

$r^{3} - 3 = \frac{0}{3}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $0$ by $3$ .

$r^{3} - 3 = 0$

Step 4

Add $3$ to both sides of the equation.

$r^{3} = 3$

Step 5

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

$r = \sqrt[3]{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$r = \sqrt[3]{3}$

Decimal Form:

$r = 1.44224957 \dots$