Final answer:
Using the quadratic formula to find the solutions, will get x = -0.922 and -1.676.
Step-by-step explanation:
This is a quadratic equation, which can be solved by moving all the terms to one side and setting the equation equal to zero.
We can rewrite the equation as:
7x^2 + 30x + 16 = 0
We can then solve this quadratic equation by using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
Plugging in the values for a, b, and c from the equation, we get:
x = (-30 ± √(30^2 - 4 * 7 * 16)) / (2 * 7)
Simplifying further, we have:
x = (-30 ± √(900 - 448)) / 14
x = (-30 ± √452) / 14
x = (-30 ± 21.27) / 14
So, the solutions to the equation are approximately:
x ≈ -0.922 or x ≈ -1.676