Question

) (\frac{1}{2}x^2 = 16)

Explanation:

Step1: Eliminate the fraction coefficient

Multiply both sides by 2:
$$2 \times \frac{1}{2}x^2 = 16 \times 2$$
$$x^2 = 32$$

Step2: Solve for x via square root

Take square root of both sides:
$$x = \pm\sqrt{32} = \pm4\sqrt{2}$$

Answer:

$x = 4\sqrt{2}$ or $x = -4\sqrt{2}$