How to solve - 7/8 * X(- 24)

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 - 7/8 * X(- 24) | Equatix

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Question

$$\frac{-7}{8}X(-24)$$

Evaluate

$21X$

Solution Steps

Fraction $\frac{-7}{8}$ can be rewritten as $-\frac{7}{8}$ by extracting the negative sign.

$$-\frac{7}{8}X\left(-24\right)$$

Express $-\frac{7}{8}\left(-24\right)$ as a single fraction.

$$\frac{-7\left(-24\right)}{8}X$$

Multiply $-7$ and $-24$ to get $168$.

$$\frac{168}{8}X$$

Divide $168$ by $8$ to get $21$.

$$21X$$

Show Solution

Differentiate w.r.t. X

$21$

Steps Using Definition of a Derivative

Fraction $\frac{-7}{8}$ can be rewritten as $-\frac{7}{8}$ by extracting the negative sign.

$$\frac{\mathrm{d}}{\mathrm{d}X}(-\frac{7}{8}X\left(-24\right))$$

Express $-\frac{7}{8}\left(-24\right)$ as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}X}(\frac{-7\left(-24\right)}{8}X)$$

Multiply $-7$ and $-24$ to get $168$.

$$\frac{\mathrm{d}}{\mathrm{d}X}(\frac{168}{8}X)$$

Divide $168$ by $8$ to get $21$.

$$\frac{\mathrm{d}}{\mathrm{d}X}(21X)$$

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

$$21X^{1-1}$$

Subtract $1$ from $1$.

$$21X^{0}$$

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

$$21\times 1$$

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

$$21$$