Basic Math Examples

$2 r^{3} = 10$

Step 1

Subtract $10$ from both sides of the equation.

$2 r^{3} - 10 = 0$

Step 2

Factor $2$ out of $2 r^{3} - 10$ .

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Step 2.1

Factor $2$ out of $2 r^{3}$ .

$2 (r^{3}) - 10 = 0$

Step 2.2

Factor $2$ out of $- 10$ .

$2 r^{3} + 2 \cdot - 5 = 0$

Step 2.3

Factor $2$ out of $2 r^{3} + 2 \cdot - 5$ .

$2 (r^{3} - 5) = 0$

Step 3

Divide each term in $2 (r^{3} - 5) = 0$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 (r^{3} - 5) = 0$ by $2$ .

$\frac{2 (r^{3} - 5)}{2} = \frac{0}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 (r^{3} - 5)}{2} = \frac{0}{2}$

Step 3.2.1.2

Divide $r^{3} - 5$ by $1$ .

$r^{3} - 5 = \frac{0}{2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $0$ by $2$ .

$r^{3} - 5 = 0$

Step 4

Add $5$ to both sides of the equation.

$r^{3} = 5$

Step 5

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

$r = \sqrt[3]{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$r = \sqrt[3]{5}$

Decimal Form:

$r = 1.70997594 \dots$