Let's simplify the expression \( 6.3g(4g - 7) \):

### Step 1: Distribute the \( 6.3g \) to both terms inside the parentheses.

\[
6.3g(4g) = 6.3 \times 4 \times g^2 = 25.2g^2
\]
\[
6.3g(-7) = 6.3 \times (-7) \times g = -44.1g
\]

### Step 2: Combine the results.

\[
25.2g^2 - 44.1g
\]

So, the simplified expression is:
\[
25.2g^2 - 44.1g
\]

Would you like more details or have any other questions?

Here are 5 related questions you might find interesting:
1. How would the expression change if \(6.3g\) were replaced with \(7.5g\)?
2. What happens when you factor the expression \( 25.2g^2 - 44.1g \)?
3. Can you graph the equation \( 25.2g^2 - 44.1g = 0 \)?
4. How do you solve \( 25.2g^2 - 44.1g = 100 \)?
5. What are the roots of the quadratic equation \( 25.2g^2 - 44.1g = 0 \)?

**Tip**: When simplifying expressions, always remember to distribute multiplication carefully to each term within parentheses!

Learn how to simplify the expression 6.3g(4g - 7) by applying the distributive property. This problem involves algebraic concepts such as distribution and quadratic expressions, suitable for students in Grades 8-10.

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