Finite Math Examples

$y (y + 4) (y - 9) = 0$

Step 1

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

$y = 0$

$y + 4 = 0$

$y - 9 = 0$

Step 2

Set $y$ equal to $0$ .

$y = 0$

Step 3

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

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Step 3.1

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

$y + 4 = 0$

Step 3.2

Subtract $4$ from both sides of the equation.

$y = - 4$

Step 4

Set $y - 9$ equal to $0$ and solve for $y$ .

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Step 4.1

Set $y - 9$ equal to $0$ .

$y - 9 = 0$

Step 4.2

Add $9$ to both sides of the equation.

$y = 9$

Step 5

The final solution is all the values that make $y (y + 4) (y - 9) = 0$ true.

$y = 0, - 4, 9$