0=u^2-5u+20

Solution for 0=u^2-5u+20 equation:

Simplifying
0 = u2 + -5u + 20

Reorder the terms:
0 = 20 + -5u + u2

Solving
0 = 20 + -5u + u2

Solving for variable 'u'.

Combine like terms: 0 + -20 = -20
-20 + 5u + -1u2 = 20 + -5u + u2 + -20 + 5u + -1u2

Reorder the terms:
-20 + 5u + -1u2 = 20 + -20 + -5u + 5u + u2 + -1u2

Combine like terms: 20 + -20 = 0
-20 + 5u + -1u2 = 0 + -5u + 5u + u2 + -1u2
-20 + 5u + -1u2 = -5u + 5u + u2 + -1u2

Combine like terms: -5u + 5u = 0
-20 + 5u + -1u2 = 0 + u2 + -1u2
-20 + 5u + -1u2 = u2 + -1u2

Combine like terms: u2 + -1u2 = 0
-20 + 5u + -1u2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
20 + -5u + u2 = 0

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + -5u + -20 + u2 = 0 + -20

Reorder the terms:
20 + -20 + -5u + u2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -5u + u2 = 0 + -20
-5u + u2 = 0 + -20

Combine like terms: 0 + -20 = -20
-5u + u2 = -20

The u term is -5u.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5u + 6.25 + u2 = -20 + 6.25

Reorder the terms:
6.25 + -5u + u2 = -20 + 6.25

Combine like terms: -20 + 6.25 = -13.75
6.25 + -5u + u2 = -13.75

Factor a perfect square on the left side:
(u + -2.5)(u + -2.5) = -13.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.