Solve for r.

Question

(r − 1)(r − 6) = 0

Write your answers as integers or as proper or improper fractions in simplest form.

r =
or r =

Answer 1

To solve the equation \((r - 1)(r - 6) = 0\), we set each factor equal to zero:

1. Set \(r - 1 = 0\): \[ r = 1 \]

2. Set \(r - 6 = 0\): \[ r = 6 \]

Therefore, the solutions are: \[ r = 1 \quad \text{or} \quad r = 6 \]