Answer:
No real solution or 4(u-(-5+i\sqrt(87))/(8))(u+(5+i\sqrt(87))/(8))
Step-by-step explanation:
Let's use one of my favorite methods to factor this equation: the quadratic formula.
The quadratic formula:
(-b±√(b²-4ac))/(2a)
All we need to do is plug the equation in following that ax^2+bx+c. In this problem, the x is replaced by a u, but don't worry, nothing changes.
Once we plug in everything, we should have (-5±√(5²-4*4*7))/(2*4). We can slowly simplify this through these steps:
(-5±√(25-112))/(8)
(-5±√(-87))/(8)
Here, we realize that we can not find a solution with rational numbers. However, we can go on with the use of i.
(-5±i√(87))/(8)
So, our completely factored equation would be (with complex numbers):
4(u-(-5+i\sqrt(87))/(8))(u+(5+i\sqrt(87))/(8))
