Let's solve the equation step-by-step to determine the number of real solutions:
1. Given the equation:
[tex]\[
8 - 4x = 0
\][/tex]
2. Isolate the variable [tex]\( x \)[/tex]:
- To isolate [tex]\( x \)[/tex], move the constant term (8) to the other side of the equation by subtracting 8 from both sides:
[tex]\[
8 - 4x - 8 = 0 - 8
\][/tex]
Simplifying this, we get:
[tex]\[
-4x = -8
\][/tex]
3. Solve for [tex]\( x \)[/tex]:
- To solve for [tex]\( x \)[/tex], divide both sides of the equation by [tex]\(-4\)[/tex]:
[tex]\[
x = \frac{-8}{-4}
\][/tex]
Simplifying this, we find:
[tex]\[
x = 2
\][/tex]
4. Determine the number of solutions:
- There is only one value for [tex]\( x \)[/tex] that satisfies the equation. Therefore, the equation has one solution.
5. Classify the solution:
- Since the equation [tex]\( 8 - 4x = 0 \)[/tex] simplifies to a single real value [tex]\( x = 2 \)[/tex], we can conclude that this solution is real and unique.
So, the equation [tex]\(8 - 4x = 0\)[/tex] has [tex]\(\boxed{1}\)[/tex] real solution(s).
