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.

Solve t+8t | Equatix - Math Solver

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

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Question

$$t+8t$$

Differentiate w.r.t. t

$9$

Steps Using Definition of a Derivative

Combine $t$ and $8t$ to get $9t$.

$$\frac{\mathrm{d}}{\mathrm{d}t}(9t)$$

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

$$9t^{1-1}$$

Subtract $1$ from $1$.

$$9t^{0}$$

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

$$9\times 1$$

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

$$9$$

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Evaluate

$9t$

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Example

Question

Differentiate w.r.t. t

Steps Using Definition of a Derivative

Evaluate

Solution Steps