Algebra Examples

$- 8 n (8 n - 8) = 0$

Step 1

Divide each term in $- 8 n (8 n - 8) = 0$ by $- 8$ and simplify.

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Step 1.1

Divide each term in $- 8 n (8 n - 8) = 0$ by $- 8$ .

$\frac{- 8 n (8 n - 8)}{- 8} = \frac{0}{- 8}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $- 8$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{- 8 n (8 n - 8)}{- 8} = \frac{0}{- 8}$

Step 1.2.1.2

Divide $n (8 n - 8)$ by $1$ .

$n (8 n - 8) = \frac{0}{- 8}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $0$ by $- 8$ .

$n (8 n - 8) = 0$

Step 2

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$n = 0$

$8 n - 8 = 0$

Step 3

Set $n$ equal to $0$ .

$n = 0$

Step 4

Set $8 n - 8$ equal to $0$ and solve for $n$ .

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Step 4.1

Set $8 n - 8$ equal to $0$ .

$8 n - 8 = 0$

Step 4.2

Solve $8 n - 8 = 0$ for $n$ .

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Step 4.2.1

Add $8$ to both sides of the equation.

$8 n = 8$

Step 4.2.2

Divide each term in $8 n = 8$ by $8$ and simplify.

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Step 4.2.2.1

Divide each term in $8 n = 8$ by $8$ .

$\frac{8 n}{8} = \frac{8}{8}$

Step 4.2.2.2

Simplify the left side.

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Step 4.2.2.2.1

Cancel the common factor of $8$ .

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Step 4.2.2.2.1.1

Cancel the common factor.

$\frac{8 n}{8} = \frac{8}{8}$

Step 4.2.2.2.1.2

Divide $n$ by $1$ .

$n = \frac{8}{8}$

Step 4.2.2.3

Simplify the right side.

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Step 4.2.2.3.1

Divide $8$ by $8$ .

$n = 1$

Step 5

The final solution is all the values that make $n (8 n - 8) = 0$ true.

$n = 0, 1$

Step 6