Final answer:
To solve the function algebraically, isolate the absolute value expression on one side of the equation and simplify to solve for x.
Step-by-step explanation:
To solve the function algebraically, we need to isolate the absolute value expression on one side of the equation. Let's start by subtracting 10 from both sides:
- 10|-8x + 4| = 0
Next, divide both sides by -10:
|-8x + 4| = 0
Since the absolute value of any number is always non-negative, the equation simplifies to:
-8x + 4 = 0
Now, solve for x:
-8x = -4
x = -4/-8
x = 1/2