Question

(a) problem 10: find all the values for x that will make this expression equal to 0. (x - 2)(x + 3) after you enter your answer press go. x = and go

Explanation:

Step1: Set the expression to zero

We start with the equation \((x - 2)(x + 3)=0\). By the zero - product property, if the product of two factors is zero, then at least one of the factors must be zero.

Step2: Solve for \(x\) from each factor

• For the first factor \(x - 2 = 0\), we add 2 to both sides of the equation. So \(x=2\).
• For the second factor \(x + 3 = 0\), we subtract 3 from both sides of the equation. So \(x=- 3\).

Answer:

\(x = 2\) and \(x=-3\)