4k^2+4k-99=0

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

Simplifying
4k2 + 4k + -99 = 0

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

Solving
-99 + 4k + 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}