100n^2+60n+9=0

Solution for 100n^2+60n+9=0 equation:

Simplifying
100n2 + 60n + 9 = 0

Reorder the terms:
9 + 60n + 100n2 = 0

Solving
9 + 60n + 100n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(3 + 10n)(3 + 10n) = 0

Subproblem 1
Set the factor '(3 + 10n)' equal to zero and attempt to solve:

Simplifying
3 + 10n = 0

Solving
3 + 10n = 0

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

Add '-3' to each side of the equation.
3 + -3 + 10n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 10n = 0 + -3
10n = 0 + -3

Combine like terms: 0 + -3 = -3
10n = -3

Divide each side by '10'.
n = -0.3

Simplifying
n = -0.3
Subproblem 2
Set the factor '(3 + 10n)' equal to zero and attempt to solve:

Simplifying
3 + 10n = 0

Solving
3 + 10n = 0

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

Add '-3' to each side of the equation.
3 + -3 + 10n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 10n = 0 + -3
10n = 0 + -3

Combine like terms: 0 + -3 = -3
10n = -3

Divide each side by '10'.
n = -0.3

Simplifying
n = -0.3
Solution
n = {-0.3, -0.3}