Precalculus Examples

$(y - 5) (y + 8) = 0$

Step 1

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

$y - 5 = 0$

$y + 8 = 0$

Step 2

Set $y - 5$ equal to $0$ and solve for $y$ .

Tap for more steps...

Step 2.1

Set $y - 5$ equal to $0$ .

$y - 5 = 0$

Step 2.2

Add $5$ to both sides of the equation.

$y = 5$

Step 3

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

Tap for more steps...

Step 3.1

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

$y + 8 = 0$

Step 3.2

Subtract $8$ from both sides of the equation.

$y = - 8$

Step 4

The final solution is all the values that make $(y - 5) (y + 8) = 0$ true.

$y = 5, - 8$