Question

1. $x^3 + 512 = 0$

Explanation:

Step1: Isolate the cubic term

$x^3 = -512$

Step2: Take cube root of both sides

$x = \sqrt[3]{-512}$

Step3: Evaluate the cube root

$\sqrt[3]{-512} = -8$ since $(-8)^3 = -512$

Answer:

$x = -8$