-k^2+9k+8=-2

Solution for -k^2+9k+8=-2 equation:

Simplifying
-1k2 + 9k + 8 = -2

Reorder the terms:
8 + 9k + -1k2 = -2

Solving
8 + 9k + -1k2 = -2

Solving for variable 'k'.

Reorder the terms:
8 + 2 + 9k + -1k2 = -2 + 2

Combine like terms: 8 + 2 = 10
10 + 9k + -1k2 = -2 + 2

Combine like terms: -2 + 2 = 0
10 + 9k + -1k2 = 0

Factor a trinomial.
(10 + -1k)(1 + k) = 0

Subproblem 1
Set the factor '(10 + -1k)' equal to zero and attempt to solve:

Simplifying
10 + -1k = 0

Solving
10 + -1k = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1k = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1k = 0 + -10
-1k = 0 + -10

Combine like terms: 0 + -10 = -10
-1k = -10

Divide each side by '-1'.
k = 10

Simplifying
k = 10
Subproblem 2
Set the factor '(1 + k)' equal to zero and attempt to solve:

Simplifying
1 + k = 0

Solving
1 + k = 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 + k = 0 + -1

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

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

Simplifying
k = -1
Solution
k = {10, -1}