Solve for m 16m^2+8m=0

$16 m^{2} + 8 m = 0$

Factor $8 m$ out of $16 m^{2} + 8 m$ .

Factor $8 m$ out of $16 m^{2}$ .

$8 m (2 m) + 8 m = 0$

Factor $8 m$ out of $8 m$ .

$8 m (2 m) + 8 m (1) = 0$

Factor $8 m$ out of $8 m (2 m) + 8 m (1)$ .

$8 m (2 m + 1) = 0$

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

$m = 0$

$2 m + 1 = 0$

Set $m$ equal to $0$ .

$m = 0$

Set $2 m + 1$ equal to $0$ and solve for $m$ .

Set $2 m + 1$ equal to $0$ .

$2 m + 1 = 0$

Solve $2 m + 1 = 0$ for $m$ .

Subtract $1$ from both sides of the equation.

$2 m = - 1$

Divide each term in $2 m = - 1$ by $2$ and simplify.

Divide each term in $2 m = - 1$ by $2$ .

$\frac{2 m}{2} = \frac{- 1}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 m}{2} = \frac{- 1}{2}$

Divide $m$ by $1$ .

$m = \frac{- 1}{2}$

Simplify the right side.

Move the negative in front of the fraction.

$m = - \frac{1}{2}$

The final solution is all the values that make $8 m (2 m + 1) = 0$ true.

$m = 0, - \frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$m = 0, - \frac{1}{2}$

Decimal Form:

$m = 0, - 0.5$