Solve for n -n(5n-4)=0

$- n (5 n - 4) = 0$

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

$n = 0$

$5 n - 4 = 0$

Set $n$ equal to $0$ .

$n = 0$

Set $5 n - 4$ equal to $0$ and solve for $n$ .

Set $5 n - 4$ equal to $0$ .

$5 n - 4 = 0$

Solve $5 n - 4 = 0$ for $n$ .

Add $4$ to both sides of the equation.

$5 n = 4$

Divide each term in $5 n = 4$ by $5$ and simplify.

Divide each term in $5 n = 4$ by $5$ .

$\frac{5 n}{5} = \frac{4}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 n}{5} = \frac{4}{5}$

Divide $n$ by $1$ .

$n = \frac{4}{5}$

The final solution is all the values that make $- n (5 n - 4) = 0$ true.

$n = 0, \frac{4}{5}$

The result can be shown in multiple forms.

Exact Form:

$n = 0, \frac{4}{5}$

Decimal Form:

$n = 0, 0.8$