4k^2+40k+99=0

Solution for 4k^2+40k+99=0 equation:

Simplifying
4k2 + 40k + 99 = 0

Reorder the terms:
99 + 40k + 4k2 = 0

Solving
99 + 40k + 4k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(11 + 2k)(9 + 2k) = 0

Subproblem 1
Set the factor '(11 + 2k)' equal to zero and attempt to solve:

Simplifying
11 + 2k = 0

Solving
11 + 2k = 0

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

Add '-11' to each side of the equation.
11 + -11 + 2k = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2k = 0 + -11
2k = 0 + -11

Combine like terms: 0 + -11 = -11
2k = -11

Divide each side by '2'.
k = -5.5

Simplifying
k = -5.5
Subproblem 2
Set the factor '(9 + 2k)' equal to zero and attempt to solve:

Simplifying
9 + 2k = 0

Solving
9 + 2k = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2k = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2k = 0 + -9
2k = 0 + -9

Combine like terms: 0 + -9 = -9
2k = -9

Divide each side by '2'.
k = -4.5

Simplifying
k = -4.5
Solution
k = {-5.5, -4.5}