Final answer:
The question involves rearranging the given quadratic equation to standard form and then solving it using the quadratic formula, unless it can be simplified or factored for an easier solution.
Step-by-step explanation:
The student's question is about determining the truth of a statement related to the following quadratic equation: 6x² - 8 = 442 + 7x. The first step is to bring all terms to one side and make the equation equal to zero. After rearranging, we obtain a quadratic equation in standard form:
6x² - 7x - 450 = 0
This is now a quadratic equation of the form ax² + bx + c = 0, where a = 6, b = -7, and c = -450. To solve this equation, we can use the quadratic formula, which is x = (-b ± √(b² - 4ac)) / (2a). However, before resorting to the quadratic formula, it may be beneficial to check if the equation can be simplified or factored for an easier solution, such as completing the square if it is a perfect square.