100u^2+20u+1=0

Solution for 100u^2+20u+1=0 equation:

Simplifying
100u2 + 20u + 1 = 0

Reorder the terms:
1 + 20u + 100u2 = 0

Solving
1 + 20u + 100u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(1 + 10u)(1 + 10u) = 0

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

Simplifying
1 + 10u = 0

Solving
1 + 10u = 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 + 10u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 10u = 0 + -1
10u = 0 + -1

Combine like terms: 0 + -1 = -1
10u = -1

Divide each side by '10'.
u = -0.1

Simplifying
u = -0.1
Subproblem 2
Set the factor '(1 + 10u)' equal to zero and attempt to solve:

Simplifying
1 + 10u = 0

Solving
1 + 10u = 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 + 10u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 10u = 0 + -1
10u = 0 + -1

Combine like terms: 0 + -1 = -1
10u = -1

Divide each side by '10'.
u = -0.1

Simplifying
u = -0.1
Solution
u = {-0.1, -0.1}