u^2+20u+100=0

Solution for u^2+20u+100=0 equation:

Simplifying
u2 + 20u + 100 = 0

Reorder the terms:
100 + 20u + u2 = 0

Solving
100 + 20u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(10 + u)(10 + u) = 0

Subproblem 1
Set the factor '(10 + u)' equal to zero and attempt to solve:

Simplifying
10 + u = 0

Solving
10 + u = 0

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

Add '-10' to each side of the equation.
10 + -10 + u = 0 + -10

Combine like terms: 10 + -10 = 0
0 + u = 0 + -10
u = 0 + -10

Combine like terms: 0 + -10 = -10
u = -10

Simplifying
u = -10
Subproblem 2
Set the factor '(10 + u)' equal to zero and attempt to solve:

Simplifying
10 + u = 0

Solving
10 + u = 0

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

Add '-10' to each side of the equation.
10 + -10 + u = 0 + -10

Combine like terms: 10 + -10 = 0
0 + u = 0 + -10
u = 0 + -10

Combine like terms: 0 + -10 = -10
u = -10

Simplifying
u = -10
Solution
u = {-10, -10}