Question

ide both sides :divide both sides by what?
\\(\frac{14}{\boxed{\quad}} = \frac{25x}{\boxed{\quad}}\\)

Explanation:

Step1: Analyze the equation structure

We have the equation \(\frac{14}{?}=\frac{25x}{?}\), but actually, if we assume the original context is to solve for \(x\) or to find the divisor, maybe the equation was like \(14 = 25x\) (if we consider the denominators were same or there was a typo, but looking at the structure, to isolate \(x\), we need to divide both sides by 25. Wait, maybe the original equation was \(\frac{14}{1}=\frac{25x}{1}\) and we need to divide both sides by 25? Wait, no, the left side has 14 over a blank, right side 25x over a blank. Wait, maybe the equation is set up for cross - multiplication or division. Wait, if we want to solve for \(x\), and the equation is \(\frac{14}{a}=\frac{25x}{a}\) (where \(a\) is non - zero), then we can multiply both sides by \(a\) to get \(14 = 25x\), then divide both sides by 25. But the question is "Divide both sides by what?". If we have the equation (after maybe some steps) as \(14=25x\) (assuming the denominators are equal, so we can cancel them), then to solve for \(x\), we divide both sides by 25.

Wait, maybe the equation is presented as \(\frac{14}{y}=\frac{25x}{y}\) (where \(y
eq0\)), then we can multiply both sides by \(y\) to get \(14 = 25x\), and then to solve for \(x\), we divide both sides by 25. So the number to divide both sides by is 25.

Step1: Identify the coefficient of x

In the equation (after eliminating the denominators, assuming they are equal) \(14 = 25x\), the coefficient of \(x\) is 25. To solve for \(x\), we use the inverse operation of multiplication, which is division. So we divide both sides of the equation \(14 = 25x\) by 25.

Answer:

To solve for \(x\) (assuming the equation simplifies to \(14 = 25x\) after dealing with the denominators), we divide both sides by 25. So the answer is 25.