5u^2-6u-2=

Solution for 5u^2-6u-2= equation:

Simplifying
5u2 + -6u + -2 = 0

Reorder the terms:
-2 + -6u + 5u2 = 0

Solving
-2 + -6u + 5u2 = 0

Solving for variable 'u'.

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

Divide each side by '5'.
-0.4 + -1.2u + u2 = 0

Move the constant term to the right:

Add '0.4' to each side of the equation.
-0.4 + -1.2u + 0.4 + u2 = 0 + 0.4

Reorder the terms:
-0.4 + 0.4 + -1.2u + u2 = 0 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + -1.2u + u2 = 0 + 0.4
-1.2u + u2 = 0 + 0.4

Combine like terms: 0 + 0.4 = 0.4
-1.2u + u2 = 0.4

The u term is -1.2u.  Take half its coefficient (-0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
-1.2u + 0.36 + u2 = 0.4 + 0.36

Reorder the terms:
0.36 + -1.2u + u2 = 0.4 + 0.36

Combine like terms: 0.4 + 0.36 = 0.76
0.36 + -1.2u + u2 = 0.76

Factor a perfect square on the left side:
(u + -0.6)(u + -0.6) = 0.76

Calculate the square root of the right side: 0.871779789

Break this problem into two subproblems by setting 
(u + -0.6) equal to 0.871779789 and -0.871779789.

Subproblem 1
u + -0.6 = 0.871779789

Simplifying
u + -0.6 = 0.871779789

Reorder the terms:
-0.6 + u = 0.871779789

Solving
-0.6 + u = 0.871779789

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '0.6' to each side of the equation.
-0.6 + 0.6 + u = 0.871779789 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + u = 0.871779789 + 0.6
u = 0.871779789 + 0.6

Combine like terms: 0.871779789 + 0.6 = 1.471779789
u = 1.471779789

Simplifying
u = 1.471779789

Subproblem 2
u + -0.6 = -0.871779789

Simplifying
u + -0.6 = -0.871779789

Reorder the terms:
-0.6 + u = -0.871779789

Solving
-0.6 + u = -0.871779789

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '0.6' to each side of the equation.
-0.6 + 0.6 + u = -0.871779789 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + u = -0.871779789 + 0.6
u = -0.871779789 + 0.6

Combine like terms: -0.871779789 + 0.6 = -0.271779789
u = -0.271779789

Simplifying
u = -0.271779789

Solution
The solution to the problem is based on the solutions
from the subproblems.
u = {1.471779789, -0.271779789}