Solve for m (7m)(4m-2)=0

$(7 m) (4 m - 2) = 0$

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

$m = 0$

$4 m - 2 = 0$

Set $m$ equal to $0$ .

$m = 0$

Set $4 m - 2$ equal to $0$ and solve for $m$ .

Set $4 m - 2$ equal to $0$ .

$4 m - 2 = 0$

Solve $4 m - 2 = 0$ for $m$ .

Add $2$ to both sides of the equation.

$4 m = 2$

Divide each term in $4 m = 2$ by $4$ and simplify.

Divide each term in $4 m = 2$ by $4$ .

$\frac{4 m}{4} = \frac{2}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 m}{4} = \frac{2}{4}$

Divide $m$ by $1$ .

$m = \frac{2}{4}$

Simplify the right side.

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2$ .

$m = \frac{2 (1)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

The final solution is all the values that make $7 m (4 m - 2) = 0$ true.

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$m = 0, 0.5$