25k^2+30k+9=0

Solution for 25k^2+30k+9=0 equation:

Simplifying
25k2 + 30k + 9 = 0

Reorder the terms:
9 + 30k + 25k2 = 0

Solving
9 + 30k + 25k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(3 + 5k)(3 + 5k) = 0

Subproblem 1
Set the factor '(3 + 5k)' equal to zero and attempt to solve:

Simplifying
3 + 5k = 0

Solving
3 + 5k = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5k = 0 + -3
5k = 0 + -3

Combine like terms: 0 + -3 = -3
5k = -3

Divide each side by '5'.
k = -0.6

Simplifying
k = -0.6
Subproblem 2
Set the factor '(3 + 5k)' equal to zero and attempt to solve:

Simplifying
3 + 5k = 0

Solving
3 + 5k = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5k = 0 + -3
5k = 0 + -3

Combine like terms: 0 + -3 = -3
5k = -3

Divide each side by '5'.
k = -0.6

Simplifying
k = -0.6
Solution
k = {-0.6, -0.6}