3x = 0.5x2

x = -6 or x = 0

x = -4 or x = 3

x = -2 or x = 1.5

x = 0 or x = 6

The correct answer is D. x = 0 or x = 6

Step-by-step explanation:

1. Let's solve for x:

3x = 0.5x2

2. Multiplying by 2 at both sides we have:

6x = x²

x² - 6x = 0

3. Factoring, we have:

(x - 6) * x = 0

x₁ = x - 6 = 0 ⇒ x₁ = 6

x₂ = 0

The correct answer is D. x = 0 or x = 6

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