1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

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Question

$$x ^ { 2 } - 4 - 4$$

Differentiate w.r.t. x

$2x$

Steps Using Derivative Rule for Sum

Subtract $4$ from $-4$ to get $-8$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}-8)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is $0$. The derivative of $ax^{n}$ is $nax^{n-1}$.

$$2x^{2-1}$$

Subtract $1$ from $2$.

$$2x^{1}$$

For any term $t$, $t^{1}=t$.

$$2x$$

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Evaluate

$x^{2}-8$

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Example

Question

Differentiate w.r.t. x

Steps Using Derivative Rule for Sum

Evaluate

Solution Steps