Final answer:
To find the value of q, we need to multiply the terms inside the parentheses and set them equal to zero. Then, we can solve the resulting quadratic equation to find the value of q.
Step-by-step explanation:
To find the value of q, we need to multiply the terms inside the parentheses and set them equal to zero:
(7q - 46)° (3q + 6)° = 0
Expanding and simplifying the equation, we get:
21q² - 18q - 276 = 0
Now we can solve this quadratic equation using factoring, completing the square, or the quadratic formula. Once we find the solutions, we can determine the value of q.