2u^2+9u+13=(u+1)2

Solution for 2u^2+9u+13=(u+1)2 equation:

Simplifying
2u2 + 9u + 13 = (u + 1) * 2

Reorder the terms:
13 + 9u + 2u2 = (u + 1) * 2

Reorder the terms:
13 + 9u + 2u2 = (1 + u) * 2

Reorder the terms for easier multiplication:
13 + 9u + 2u2 = 2(1 + u)
13 + 9u + 2u2 = (1 * 2 + u * 2)
13 + 9u + 2u2 = (2 + 2u)

Solving
13 + 9u + 2u2 = 2 + 2u

Solving for variable 'u'.

Reorder the terms:
13 + -2 + 9u + -2u + 2u2 = 2 + 2u + -2 + -2u

Combine like terms: 13 + -2 = 11
11 + 9u + -2u + 2u2 = 2 + 2u + -2 + -2u

Combine like terms: 9u + -2u = 7u
11 + 7u + 2u2 = 2 + 2u + -2 + -2u

Reorder the terms:
11 + 7u + 2u2 = 2 + -2 + 2u + -2u

Combine like terms: 2 + -2 = 0
11 + 7u + 2u2 = 0 + 2u + -2u
11 + 7u + 2u2 = 2u + -2u

Combine like terms: 2u + -2u = 0
11 + 7u + 2u2 = 0

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

Divide each side by '2'.
5.5 + 3.5u + u2 = 0

Move the constant term to the right:

Add '-5.5' to each side of the equation.
5.5 + 3.5u + -5.5 + u2 = 0 + -5.5

Reorder the terms:
5.5 + -5.5 + 3.5u + u2 = 0 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + 3.5u + u2 = 0 + -5.5
3.5u + u2 = 0 + -5.5

Combine like terms: 0 + -5.5 = -5.5
3.5u + u2 = -5.5

The u term is 3.5u.  Take half its coefficient (1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
3.5u + 3.0625 + u2 = -5.5 + 3.0625

Reorder the terms:
3.0625 + 3.5u + u2 = -5.5 + 3.0625

Combine like terms: -5.5 + 3.0625 = -2.4375
3.0625 + 3.5u + u2 = -2.4375

Factor a perfect square on the left side:
(u + 1.75)(u + 1.75) = -2.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.