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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3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$b+b$$

Differentiate w.r.t. b

$2$

Steps Using Definition of a Derivative

Combine $b$ and $b$ to get $2b$.

$$\frac{\mathrm{d}}{\mathrm{d}b}(2b)$$

The derivative of $ax^{n}$ is $nax^{n-1}$.

$$2b^{1-1}$$

Subtract $1$ from $1$.

$$2b^{0}$$

For any term $t$ except $0$, $t^{0}=1$.

$$2\times 1$$

For any term $t$, $t\times 1=t$ and $1t=t$.

$$2$$

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Evaluate

$2b$

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Example

Question

Differentiate w.r.t. b

Steps Using Definition of a Derivative

Evaluate

Solution Steps