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The given expression is:

\[
x(2 - 3xy)
\]

We are also provided with the values \( x = -2 \) and \( y = 0.5 \). Now, let's substitute these values into the expression.

The expression becomes:

\[
-2(2 - 3(-2)(0.5))
\]

Now, I will simplify this step by step.

1. First, calculate \( -2 \times 0.5 = -1 \).
2. Now multiply by 3: \( 3 \times -1 = -3 \).
3. Now the expression becomes:
\[
-2(2 - (-3)) = -2(2 + 3) = -2(5)
\]
4. Finally, multiply by -2: \( -2 \times 5 = -10 \).

Thus, the value of the expression is:

\[
-10
\]

Would you like more details or have any questions?

Here are five related questions you might find useful:
1. What happens if the values of \( x \) and \( y \) are changed?
2. How does the expression behave if the constant 3 is replaced with another number?
3. Can you graph the expression \( x(2 - 3xy) \) for a range of \( x \) and \( y \)?
4. What is the general behavior of the expression as \( y \) approaches 1?
5. How would the result change if \( y \) were a negative number?

**Tip:** Always simplify expressions inside parentheses first before dealing with multiplication. This ensures that you get accurate results step-by-step!

Learn how to simplify the algebraic expression x(2 - 3xy) by substituting x = -2 and y = 0.5. This detailed step-by-step guide covers key algebra concepts like multiplication and simplification, making it suitable for students in Grades 6-8.

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