Precalculus Examples

$\frac{(w + 2) (w - 11)}{w - 8} = 0$

Step 1

Set the numerator equal to zero.

$(w + 2) (w - 11) = 0$

Step 2

Solve the equation for $w$ .

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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 $0$ .

$w + 2 = 0$

$w - 11 = 0$

Step 2.2

Set $w + 2$ equal to $0$ and solve for $w$ .

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Step 2.2.1

Set $w + 2$ equal to $0$ .

$w + 2 = 0$

Step 2.2.2

Subtract $2$ from both sides of the equation.

$w = - 2$

Step 2.3

Set $w - 11$ equal to $0$ and solve for $w$ .

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Step 2.3.1

Set $w - 11$ equal to $0$ .

$w - 11 = 0$

Step 2.3.2

Add $11$ to both sides of the equation.

$w = 11$

Step 2.4

The final solution is all the values that make $(w + 2) (w - 11) = 0$ true.

$w = - 2, 11$