Question

solve.
$(x - 2)(4x + 1) = 0$
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 $4x+1=0$

Step2: Solve first linear equation

Isolate $x$:
$x=2$

Step3: Solve second linear equation

Isolate $x$:
$4x=-1 \implies x=\frac{-1}{4}$

Answer:

$2, -\frac{1}{4}$