8*(k+3)*(k+3)=

Solution for 8*(k+3)*(k+3)= equation:

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

Reorder the terms:
8(3 + k)(k + 3) = 0

Reorder the terms:
8(3 + k)(3 + k) = 0

Multiply (3 + k) * (3 + k)
8(3(3 + k) + k(3 + k)) = 0
8((3 * 3 + k * 3) + k(3 + k)) = 0
8((9 + 3k) + k(3 + k)) = 0
8(9 + 3k + (3 * k + k * k)) = 0
8(9 + 3k + (3k + k2)) = 0

Combine like terms: 3k + 3k = 6k
8(9 + 6k + k2) = 0
(9 * 8 + 6k * 8 + k2 * 8) = 0
(72 + 48k + 8k2) = 0

Solving
72 + 48k + 8k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '8'.
8(9 + 6k + k2) = 0

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

Ignore the factor 8.
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 '(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
Solution
k = {-3, -3}