How to solve 3x imes-2x imes-1

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 3x\times-2x\times-1 | Equatix

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Example

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$3x \times -2x \times -1$$

Evaluate

$6x^{2}$

Solution Steps

Multiply $x$ and $x$ to get $x^{2}$.

$$3x^{2}\left(-2\right)\left(-1\right)$$

Multiply $3$ and $-2$ to get $-6$.

$$-6x^{2}\left(-1\right)$$

Multiply $-6$ and $-1$ to get $6$.

$$6x^{2}$$

Show Solution

Differentiate w.r.t. x

$12x$

Steps Using Definition of a Derivative

Multiply $x$ and $x$ to get $x^{2}$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}\left(-2\right)\left(-1\right))$$

Multiply $3$ and $-2$ to get $-6$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-6x^{2}\left(-1\right))$$

Multiply $-6$ and $-1$ to get $6$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6x^{2})$$

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

$$2\times 6x^{2-1}$$

Multiply $2$ times $6$.

$$12x^{2-1}$$

Subtract $1$ from $2$.

$$12x^{1}$$

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

$$12x$$

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