Question
Real Tutor Solution
Tutor-Verified Answer
Answer
The expression simplifies to \(9(x + 4)\).
Solution
It looks like you have the expression:
\[ 9x + 36 \]
**Simplifying the Expression:**
You can factor out the greatest common factor (GCF) from the terms in the expression.
1. **Identify the GCF:**
The GCF of \(9x\) and \(36\) is \(9\).
2. **Factor out the GCF:**
\[
9x + 36 = 9(x) + 9(4) = 9(x + 4)
\]
**Final Factored Form:**
\[
9x + 36 = 9(x + 4)
\]
**Additional Interpretation (Solving for \(x\)):**
If you intended to solve the equation \(9x + 36 = 0\) for \(x\), here's how you can do it:
1. **Set the expression equal to zero:**
\[
9x + 36 = 0
\]
2. **Subtract 36 from both sides:**
\[
9x = -36
\]
3. **Divide both sides by 9:**
\[
x = -4
\]
**Solution:**
\[
x = -4
\]
If you had a different intention with the expression \(9x + 36\), please provide more details, and I'd be happy to help!
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To solve the expression \( 9x + 36 \), you can factor it. Notice that both terms share a common factor of 9. So, you can rewrite it as \( 9(x + 4) \). This is a great way to simplify equations, especially when you need to solve for \( x \)! In real-world scenarios, expressions like \( 9x + 36 \) could represent a situation where you're calculating costs. For instance, if \( x \) represents the number of items you're buying, and each item costs $9, the total cost would be given by this expression, plus an additional fixed cost of $36. This kind of calculation is common in budgeting and financial planning!
