Algebra Examples

$- 10 - n^{3} = - 88$

Step 1

Move all terms not containing $n$ to the right side of the equation.

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Step 1.1

Add $10$ to both sides of the equation.

$- n^{3} = - 88 + 10$

Step 1.2

Add $- 88$ and $10$ .

$- n^{3} = - 78$

Step 2

Divide each term in $- n^{3} = - 78$ by $- 1$ and simplify.

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Step 2.1

Divide each term in $- n^{3} = - 78$ by $- 1$ .

$\frac{- n^{3}}{- 1} = \frac{- 78}{- 1}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{n^{3}}{1} = \frac{- 78}{- 1}$

Step 2.2.2

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

$n^{3} = \frac{- 78}{- 1}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $- 78$ by $- 1$ .

$n^{3} = 78$

Step 3

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

$n = \sqrt[3]{78}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$n = \sqrt[3]{78}$

Decimal Form:

$n = 4.27265868 \dots$