Question

1. $x^2 + 8x = 0$

Explanation:

Step1: Factor out common term $x$

$x(x + 8) = 0$

Step2: Apply zero product property

Set each factor equal to 0:
$x = 0$ or $x + 8 = 0$

Step3: Solve for $x$

For $x + 8 = 0$, subtract 8 from both sides: $x = -8$

Answer:

$x = 0$ or $x = -8$