Precalculus Examples

$y = (x + 9) {(x - 9)}^{2}$

Step 1

Set $(x + 9) {(x - 9)}^{2}$ equal to $0$ .

$(x + 9) {(x - 9)}^{2} = 0$

Step 2

Solve for $x$ .

Tap for more steps...

Step 2.1

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

$x + 9 = 0$

${(x - 9)}^{2} = 0$

Step 2.2

Set $x + 9$ equal to $0$ and solve for $x$ .

Tap for more steps...

Step 2.2.1

Set $x + 9$ equal to $0$ .

$x + 9 = 0$

Step 2.2.2

Subtract $9$ from both sides of the equation.

$x = - 9$

Step 2.3

Set ${(x - 9)}^{2}$ equal to $0$ and solve for $x$ .

Tap for more steps...

Step 2.3.1

Set ${(x - 9)}^{2}$ equal to $0$ .

${(x - 9)}^{2} = 0$

Step 2.3.2

Solve ${(x - 9)}^{2} = 0$ for $x$ .

Tap for more steps...

Step 2.3.2.1

Set the $x - 9$ equal to $0$ .

$x - 9 = 0$

Step 2.3.2.2

Add $9$ to both sides of the equation.

$x = 9$

Step 2.4

The final solution is all the values that make $(x + 9) {(x - 9)}^{2} = 0$ true.

$x = - 9, 9$

Step 3