Solve the following equation for b*b*. 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*+22*b*​

The equation you're trying to solve is:

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

This simplifies to:

\[
g = \frac{b}{d + 4}
\]

We need to solve for \( b \), so we can multiply both sides of the equation by \( d + 4 \) to isolate \( b \):

\[
b = g \cdot (d + 4)
\]

Thus, the solution for \( b \) is:

\[
b = g(d + 4)
\]

### Final Answer:
\[
b = g(d + 4)
\]

Would you like further details or explanations on any part of the solution?

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Here are five related questions to deepen your understanding:
1. How would the solution change if \( g \) were squared?
2. What happens if \( d \) is negative in the equation?
3. How do you solve this equation if \( b \) is squared instead of \( d + 2 \)?
4. Can this equation be graphed as a linear equation for \( b \) versus \( g \)?
5. What if the equation included an additional constant on the right-hand side?

**Tip:** Always check if an equation can be simplified before solving to make your work easier.

Solve the following equation for b. Be sure to take into account whether a letter is capitalized or not: g = (b / (d + 2^2))

Learn how to solve the equation g = b / (d + 2^2) for b with a step-by-step explanation. This problem covers key algebraic concepts such as exponentiation and equation manipulation, making it ideal for students in Grades 7-9.

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