Question

solve.
$(x - 2)(2x + 1) = 0$

the solution is $x = \square$.
(use a comma to separate answers as needed.)

Explanation:

Step1: Apply zero-product property

Set each factor equal to 0:
$x-2=0$ and $2x+1=0$

Step2: Solve first equation

Isolate $x$:
$x=2$

Step3: Solve second equation

Isolate $x$:
$2x=-1 \implies x=\frac{-1}{2}$

Answer:

$2, -\frac{1}{2}$