9u^2+10u+1=0

Solution for 9u^2+10u+1=0 equation:

Simplifying
9u2 + 10u + 1 = 0

Reorder the terms:
1 + 10u + 9u2 = 0

Solving
1 + 10u + 9u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(1 + u)(1 + 9u) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(1 + 9u)' equal to zero and attempt to solve:

Simplifying
1 + 9u = 0

Solving
1 + 9u = 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 + 9u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 9u = 0 + -1
9u = 0 + -1

Combine like terms: 0 + -1 = -1
9u = -1

Divide each side by '9'.
u = -0.1111111111

Simplifying
u = -0.1111111111
Solution
u = {-1, -0.1111111111}