(u^2)+28u+27=0

Solution for (u^2)+28u+27=0 equation:

Simplifying
(u2) + 28u + 27 = 0
u2 + 28u + 27 = 0

Reorder the terms:
27 + 28u + u2 = 0

Solving
27 + 28u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(27 + u)(1 + u) = 0

Subproblem 1
Set the factor '(27 + u)' equal to zero and attempt to solve:

Simplifying
27 + u = 0

Solving
27 + u = 0

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

Add '-27' to each side of the equation.
27 + -27 + u = 0 + -27

Combine like terms: 27 + -27 = 0
0 + u = 0 + -27
u = 0 + -27

Combine like terms: 0 + -27 = -27
u = -27

Simplifying
u = -27
Subproblem 2
Set the factor '(1 + u)' equal to zero and attempt to solve:

Simplifying
1 + u = 0

Solving
1 + u = 0

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

Add '-1' to each side of the equation.
1 + -1 + u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + u = 0 + -1
u = 0 + -1

Combine like terms: 0 + -1 = -1
u = -1

Simplifying
u = -1
Solution
u = {-27, -1}