Solve the following equation for bb. Be sure to take into account whether a letter is capitalized or not.
g, equals, start fraction, b, divided by, d, plus, 2, squared, end fraction
g=
d+2 
2
 
b
​


It seems like the equation is a little mixed up. Based on what you're trying to describe, I assume the equation you're trying to solve for \( b \) is:

\[
g = \frac{b}{(d + 2)^2}
\]

### Solving for \( b \):

1. Multiply both sides of the equation by \( (d + 2)^2 \) to isolate \( b \):
   \[
   g \cdot (d + 2)^2 = b
   \]

2. The solution for \( b \) is:
   \[
   b = g \cdot (d + 2)^2
   \]

So, \( b = g \cdot (d + 2)^2 \).

Let me know if you'd like further clarification or additional steps!

### Follow-up Questions:
1. What would \( b \) be if \( g = 3 \) and \( d = 1 \)?
2. How does the value of \( b \) change when \( d \) increases by 1 unit?
3. What happens to \( b \) when \( g = 0 \)?
4. Can you graph the equation with respect to \( d \) if \( g = 5 \)?
5. How would you find \( d \) if \( b \) and \( g \) are known?

**Tip**: When dealing with equations involving fractions, multiplying both sides by the denominator is a helpful way to eliminate the fraction and simplify the expression!

Solve the following equation for b: g = b / (d + 2)^2

Learn how to solve the equation g = b / (d + 2)^2 for b with a step-by-step algebraic approach. This problem involves algebraic manipulation of fractions and exponents. Suitable for students in Grades 8-10.

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