Solve for y (4y+8)(3y-2)=0

$(4 y + 8) (3 y - 2) = 0$

Step 1

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

$4 y + 8 = 0$

$3 y - 2 = 0$

Step 2

Set $4 y + 8$ equal to $0$ and solve for $y$ .

Set $4 y + 8$ equal to $0$ .

$4 y + 8 = 0$

Solve $4 y + 8 = 0$ for $y$ .

Subtract $8$ from both sides of the equation.

$4 y = - 8$

Divide each term in $4 y = - 8$ by $4$ and simplify.

Divide each term in $4 y = - 8$ by $4$ .

$\frac{4 y}{4} = \frac{- 8}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{- 8}{4}$

Divide $y$ by $1$ .

$y = \frac{- 8}{4}$

Simplify the right side.

Divide $- 8$ by $4$ .

$y = - 2$

Step 3

Set $3 y - 2$ equal to $0$ and solve for $y$ .

Set $3 y - 2$ equal to $0$ .

$3 y - 2 = 0$

Solve $3 y - 2 = 0$ for $y$ .

Add $2$ to both sides of the equation.

$3 y = 2$

Divide each term in $3 y = 2$ by $3$ and simplify.

Divide each term in $3 y = 2$ by $3$ .

$\frac{3 y}{3} = \frac{2}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{2}{3}$

Divide $y$ by $1$ .

$y = \frac{2}{3}$

Step 4

The final solution is all the values that make $(4 y + 8) (3 y - 2) = 0$ true.

$y = - 2, \frac{2}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$y = - 2, \frac{2}{3}$

Decimal Form:

$y = - 2, 0.\overline{6}$

Solve for y (4y+8)(3y-2)=0

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