https://file.aiquickdraw.com/mathbot/file/17259714529570yjehsjh.jpg

Solve it by solving equation and determine the sum and product and the roots

The given equation from the image is:

\[
\frac{x - 4}{x} = \frac{x - 4}{5}
\]

### Step 1: Eliminate the denominators
To eliminate the fractions, we can multiply both sides of the equation by the least common denominator (LCD), which is \(5x\).

\[
5x \cdot \frac{x - 4}{x} = 5x \cdot \frac{x - 4}{5}
\]

Simplifying both sides:

\[
5(x - 4) = x(x - 4)
\]

### Step 2: Expand both sides
Now expand both sides of the equation:

\[
5(x - 4) = x(x - 4)
\]

\[


Solve the equation \(\frac{x-4}{x} = \frac{x-4}{5}\) and determine the sum, product, and roots.

In this example, solve the equation \(\frac{x-4}{x} = \frac{x-4}{5}\) by cross-multiplying and simplifying. Follow step-by-step instructions to find the sum, product, and roots of the equation. Ideal for students in Grades 9-10.

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