How to solve 5/12x imes4

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 5/12x\times4 | Equatix

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Question

$$5/12x \times 4$$

Evaluate

$\frac{5x}{3}$

Solution Steps

Express $\frac{5}{12}\times 4$ as a single fraction.

$$\frac{5\times 4}{12}x$$

Multiply $5$ and $4$ to get $20$.

$$\frac{20}{12}x$$

Reduce the fraction $\frac{20}{12}$ to lowest terms by extracting and canceling out $4$.

$$\frac{5}{3}x$$

Show Solution

Differentiate w.r.t. x

$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$

Steps Using Definition of a Derivative

Express $\frac{5}{12}\times 4$ as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5\times 4}{12}x)$$

Multiply $5$ and $4$ to get $20$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{20}{12}x)$$

Reduce the fraction $\frac{20}{12}$ to lowest terms by extracting and canceling out $4$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5}{3}x)$$

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

$$\frac{5}{3}x^{1-1}$$

Subtract $1$ from $1$.

$$\frac{5}{3}x^{0}$$

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

$$\frac{5}{3}\times 1$$

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

$$\frac{5}{3}$$