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which are solutions of the equation $(x + 5)(x - 3) = 0$? choose two co…

Question

which are solutions of the equation $(x + 5)(x - 3) = 0$? choose two correct answers.
$x = 5$ $x = 3$ $x = -15$
$x = 2$ $x = -3$ $x = -5$

Explanation:

Step1: Apply zero product property

If $(x+5)(x-3)=0$, then $x+5=0$ or $x-3=0$.

Step2: Solve for $x$ (first case)

$x+5=0 \implies x=-5$

Step3: Solve for $x$ (second case)

$x-3=0 \implies x=3$

Answer:

$x=3$, $x=-5$