Question

@ ai

Rewrite the equation to solve for x
.

d=f+fx


x=fd−1


x=1−df


x=fd−1


x=df−1

Answer 1

To solve for \( x \) in the equation \( d = f + fx \), we can rearrange the terms as follows:

1. Start with the equation:
\[
d = f + fx
\]

2. Factor the right side:
\[
d = f(1 + x)
\]

3. Divide both sides by \( f \) (assuming \( f \neq 0 \)):
\[
\frac{d}{f} = 1 + x
\]

4. Subtract 1 from both sides:
\[
\frac{d}{f} - 1 = x
\]

So, the final solution for \( x \) is:
\[
x = \frac{d}{f} - 1
\]

This can be rearranged as:
\[
x = \frac{d - f}{f}
\]

This solution matches the equation:
\[
x = \frac{d}{f} - 1
\]