https://file.aiquickdraw.com/mathbot/file/1726577170888ano00sar.jpg

The image contains three mathematical problems under the instruction "Tentukan nilai X dari," which means "Determine the value of X from."

Let's break them down and solve each one.

### Problem a:
\[
8x - 2 = \frac{128}{2}
\]

First, simplify the right-hand side:
\[
8x - 2 = 64
\]

Next, add 2 to both sides:
\[
8x = 66
\]

Now, divide both sides by 8:
\[
x = \frac{66}{8} = 8.25
\]

### Problem b:
\[
6 \times 5x - 1 = 16
\]

First, distribute the 6 on the left-hand side:
\[
30x - 6 = 16
\]

Now, add 6 to both sides:
\[
30x = 22
\]

Finally, divide both sides by 30:
\[
x = \frac{22}{30} = \frac{11}{15}
\]

### Problem c:
\[
\sqrt{9x - 5} = 4 \times \sqrt{2x}
\]

Square both sides to eliminate the square roots:
\[
9x - 5 = 16 \times 2x
\]
\[
9x - 5 = 32x
\]

Now, move the terms involving \(x\) to one side:
\[
9x - 32x = 5
\]
\[
-23x = 5
\]

Divide by \(-23\):
\[
x = \frac{5}{-23} = -\frac{5}{23}
\]

---

Here are the solutions:
- a) \(x = 8.25\)
- b) \(x = \frac{11}{15}\)
- c) \(x = -\frac{5}{23}\)

Do you want further details or explanations for any of these steps? 

Here are 5 related questions:
1. How do you simplify square roots in equations?
2. What happens when you square both sides of an equation?
3. How do you solve an equation involving fractions?
4. Why is it important to isolate variables in algebraic equations?
5. What are the different methods to solve quadratic equations?

**Tip**: When dealing with square roots, always check if squaring both sides introduces extraneous solutions.

Tentukan nilai X dari a) 8x - 2 = 128 / 2, b) 6(5x - 1) = 16, c) √(9x - 5) = 4√(2x)

Learn how to solve a variety of algebraic equations, including linear and square root problems. This example covers solving for X in three different problems, perfect for students in grades 8-10.

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