-5k^2-2k-2=-9

Solution for -5k^2-2k-2=-9 equation:

Simplifying
-5k2 + -2k + -2 = -9

Reorder the terms:
-2 + -2k + -5k2 = -9

Solving
-2 + -2k + -5k2 = -9

Solving for variable 'k'.

Reorder the terms:
-2 + 9 + -2k + -5k2 = -9 + 9

Combine like terms: -2 + 9 = 7
7 + -2k + -5k2 = -9 + 9

Combine like terms: -9 + 9 = 0
7 + -2k + -5k2 = 0

Factor a trinomial.
(1 + -1k)(7 + 5k) = 0

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

Simplifying
1 + -1k = 0

Solving
1 + -1k = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1k = 0 + -1
-1k = 0 + -1

Combine like terms: 0 + -1 = -1
-1k = -1

Divide each side by '-1'.
k = 1

Simplifying
k = 1
Subproblem 2
Set the factor '(7 + 5k)' equal to zero and attempt to solve:

Simplifying
7 + 5k = 0

Solving
7 + 5k = 0

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

Add '-7' to each side of the equation.
7 + -7 + 5k = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5k = 0 + -7
5k = 0 + -7

Combine like terms: 0 + -7 = -7
5k = -7

Divide each side by '5'.
k = -1.4

Simplifying
k = -1.4
Solution
k = {1, -1.4}