Final answer:
The solution set of the given quadratic equation is x = 3/4 or x = -13/4.
Step-by-step explanation:
The given expression is a quadratic equation of the form ax² + bx + c = 0, where the constants are a = 4, b = -2, and c = -19.
We can find the solution set using the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
Substituting the values, we get x = (-(-2) ± √((-2)² - 4(4)(-19))) / (2(4))
Simplifying further, we have x = (2 ± √(4 + 304))/8
So the solution set is x = 6/8 or x = -26/8, which simplifies to x = 3/4 or x = -13/4.