K^2+4K-2=-5

Solution for K^2+4K-2=-5 equation:

Simplifying
K2 + 4K + -2 = -5

Reorder the terms:
-2 + 4K + K2 = -5

Solving
-2 + 4K + K2 = -5

Solving for variable 'K'.

Reorder the terms:
-2 + 5 + 4K + K2 = -5 + 5

Combine like terms: -2 + 5 = 3
3 + 4K + K2 = -5 + 5

Combine like terms: -5 + 5 = 0
3 + 4K + K2 = 0

Factor a trinomial.
(3 + K)(1 + K) = 0

Subproblem 1
Set the factor '(3 + K)' equal to zero and attempt to solve:

Simplifying
3 + K = 0

Solving
3 + K = 0

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

Add '-3' to each side of the equation.
3 + -3 + K = 0 + -3

Combine like terms: 3 + -3 = 0
0 + K = 0 + -3
K = 0 + -3

Combine like terms: 0 + -3 = -3
K = -3

Simplifying
K = -3
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 = {-3, -1}