Question

Find the root of each equation.

$6x+3=0$

Short answer

The required root is represented by $x=\frac{-1}{2}$.

Step-by-step solution

Step 1. Determine the method which can be used to determine the required root.

The equation that represents the value of x will represent the required root.

Step 2. Determine the value of x.

Perform subtraction of 3 from both sides of the provided equation.

$$\begin{gathered} 6x+3-3=-3 \\ 6x=-3 \end{gathered}$$

Perform division of 6 on both sides of the equation.

$$\begin{gathered} \frac{6x}{6}=\frac{-3}{6} \\ x=\frac{-1}{2} \end{gathered}$$

Step 3. Write the conclusion.

The obtained equation$x=\frac{-1}{2}$ is the required root.