25k^2+50k+16=0

Solution for 25k^2+50k+16=0 equation:

Simplifying
25k2 + 50k + 16 = 0

Reorder the terms:
16 + 50k + 25k2 = 0

Solving
16 + 50k + 25k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(8 + 5k)(2 + 5k) = 0

Subproblem 1
Set the factor '(8 + 5k)' equal to zero and attempt to solve:

Simplifying
8 + 5k = 0

Solving
8 + 5k = 0

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

Add '-8' to each side of the equation.
8 + -8 + 5k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5k = 0 + -8
5k = 0 + -8

Combine like terms: 0 + -8 = -8
5k = -8

Divide each side by '5'.
k = -1.6

Simplifying
k = -1.6
Subproblem 2
Set the factor '(2 + 5k)' equal to zero and attempt to solve:

Simplifying
2 + 5k = 0

Solving
2 + 5k = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5k = 0 + -2
5k = 0 + -2

Combine like terms: 0 + -2 = -2
5k = -2

Divide each side by '5'.
k = -0.4

Simplifying
k = -0.4
Solution
k = {-1.6, -0.4}