Solve for w (w)(3w+5)=0

$(w) (3 w + 5) = 0$

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

$w = 0$

$3 w + 5 = 0$

Set $w$ equal to $0$ .

$w = 0$

Set $3 w + 5$ equal to $0$ and solve for $w$ .

Set $3 w + 5$ equal to $0$ .

$3 w + 5 = 0$

Solve $3 w + 5 = 0$ for $w$ .

Subtract $5$ from both sides of the equation.

$3 w = - 5$

Divide each term in $3 w = - 5$ by $3$ and simplify.

Divide each term in $3 w = - 5$ by $3$ .

$\frac{3 w}{3} = \frac{- 5}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 w}{3} = \frac{- 5}{3}$

Divide $w$ by $1$ .

$w = \frac{- 5}{3}$

Simplify the right side.

Move the negative in front of the fraction.

$w = - \frac{5}{3}$

The final solution is all the values that make $w (3 w + 5) = 0$ true.

$w = 0, - \frac{5}{3}$

The result can be shown in multiple forms.

Exact Form:

$w = 0, - \frac{5}{3}$

Decimal Form:

$w = 0, - 1.\overline{6}$

Mixed Number Form:

$w = 0, - 1 \frac{2}{3}$