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

Learn how to solve the equation (x - 4) / x = (x - 4) / 5 using cross multiplication and algebraic manipulation. Step-by-step guide including solution of the roots, sum, and product. Suitable for Grades 9-12.

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