Solve for n.

Question

(n − 2)(n + 3) = 0

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

n =
or n =

Answer 1

To solve the equation \((n - 2)(n + 3) = 0\), we can set each factor equal to zero.

1. Set the first factor equal to zero: \[ n - 2 = 0 \] Solving for \(n\) gives: \[ n = 2 \]

2. Set the second factor equal to zero: \[ n + 3 = 0 \] Solving for \(n\) gives: \[ n = -3 \]

Therefore, the solutions are: \[ n = 2 \quad \text{or} \quad n = -3 \]