Certainly! Let's solve the equation step-by-step.
We start with the expression:
[tex]\[4x + 6\][/tex]
To find [tex]\(x\)[/tex], let's assume we need to solve for [tex]\(x\)[/tex] when the expression equals zero:
[tex]\[4x + 6 = 0\][/tex]
Now, follow these steps:
1. Subtract 6 from both sides of the equation:
[tex]\[4x + 6 - 6 = 0 - 6\][/tex]
Simplifying this gives:
[tex]\[4x = -6\][/tex]
2. Divide both sides by 4 to isolate [tex]\(x\)[/tex]:
[tex]\[\frac{4x}{4} = \frac{-6}{4}\][/tex]
Simplifying this:
[tex]\[x = -\frac{6}{4}\][/tex]
3. Simplify the fraction [tex]\(\frac{-6}{4}\)[/tex]:
[tex]\[x = -\frac{3}{2}\][/tex]
Therefore, the value of [tex]\(x\)[/tex] is:
[tex]\[x = -\frac{3}{2}\][/tex]
This is the solution to the equation [tex]\(4x + 6 = 0\)[/tex].
