-3k^2+2k+8=-8

Solution for -3k^2+2k+8=-8 equation:

Simplifying
-3k2 + 2k + 8 = -8

Reorder the terms:
8 + 2k + -3k2 = -8

Solving
8 + 2k + -3k2 = -8

Solving for variable 'k'.

Reorder the terms:
8 + 8 + 2k + -3k2 = -8 + 8

Combine like terms: 8 + 8 = 16
16 + 2k + -3k2 = -8 + 8

Combine like terms: -8 + 8 = 0
16 + 2k + -3k2 = 0

Factor a trinomial.
(8 + -3k)(2 + k) = 0

Subproblem 1
Set the factor '(8 + -3k)' equal to zero and attempt to solve:

Simplifying
8 + -3k = 0

Solving
8 + -3k = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3k = 0 + -8
-3k = 0 + -8

Combine like terms: 0 + -8 = -8
-3k = -8

Divide each side by '-3'.
k = 2.666666667

Simplifying
k = 2.666666667
Subproblem 2
Set the factor '(2 + k)' equal to zero and attempt to solve:

Simplifying
2 + k = 0

Solving
2 + k = 0

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

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

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

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

Simplifying
k = -2
Solution
k = {2.666666667, -2}