Question

solve
$(x - 2)(5x + 2) = 0$

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

Step1: Apply zero-product property

Set each factor equal to 0:
$x-2=0$ and $5x+2=0$

Step2: Solve first linear equation

Isolate $x$:
$x=2$

Step3: Solve second linear equation

Isolate $x$:
$5x=-2 \implies x=-\frac{2}{5}$

Answer:

$2, -\frac{2}{5}$