k+3(k^2-8)=0

Solution for k+3(k^2-8)=0 equation:

Simplifying
k + 3(k2 + -8) = 0

Reorder the terms:
k + 3(-8 + k2) = 0
k + (-8 * 3 + k2 * 3) = 0
k + (-24 + 3k2) = 0

Reorder the terms:
-24 + k + 3k2 = 0

Solving
-24 + k + 3k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-3 + -1k)(8 + -3k) = 0

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

Simplifying
-3 + -1k = 0

Solving
-3 + -1k = 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 + -1k = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1k = 0 + 3
-1k = 0 + 3

Combine like terms: 0 + 3 = 3
-1k = 3

Divide each side by '-1'.
k = -3

Simplifying
k = -3
Subproblem 2
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
Solution
k = {-3, 2.666666667}