Final answer:
The question is asking about finding the solutions of a quadratic equation, using the function f(x) = 2x² - 12x - 32.
Step-by-step explanation:
The given question is asking about a quadratic equation defined by the function f(x) = 2x² - 12x - 32. To find the solutions of this equation, we can use the quadratic formula.
The quadratic formula is x = (-b ± sqrt(b² - 4ac))/(2a), where a, b, and c are coefficients of the quadratic equation.
For f(x) = 2x² - 12x - 32, we have a = 2, b = -12, and c = -32. Plugging these values into the quadratic formula, we can find the solutions for x.