How to solve -(3)/(16)x imes56

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 -(3)/(16)x\times56 | Equatix

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Question

$$- \frac{ 3 }{ 16 } x \times 56$$

Evaluate

$-\frac{21x}{2}$

Solution Steps

Express $-\frac{3}{16}\times 56$ as a single fraction.

$$\frac{-3\times 56}{16}x$$

Multiply $-3$ and $56$ to get $-168$.

$$\frac{-168}{16}x$$

Reduce the fraction $\frac{-168}{16}$ to lowest terms by extracting and canceling out $8$.

$$-\frac{21}{2}x$$

Show Solution

Differentiate w.r.t. x

$-\frac{21}{2} = -10\frac{1}{2} = -10.5$

Steps Using Definition of a Derivative

Express $-\frac{3}{16}\times 56$ as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{-3\times 56}{16}x)$$

Multiply $-3$ and $56$ to get $-168$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{-168}{16}x)$$

Reduce the fraction $\frac{-168}{16}$ to lowest terms by extracting and canceling out $8$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{21}{2}x)$$

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

$$-\frac{21}{2}x^{1-1}$$

Subtract $1$ from $1$.

$$-\frac{21}{2}x^{0}$$

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

$$-\frac{21}{2}$$