-4k-8k-3k=-3-5k^2

Solution for -4k-8k-3k=-3-5k^2 equation:

Simplifying
-4k + -8k + -3k = -3 + -5k2

Combine like terms: -4k + -8k = -12k
-12k + -3k = -3 + -5k2

Combine like terms: -12k + -3k = -15k
-15k = -3 + -5k2

Solving
-15k = -3 + -5k2

Solving for variable 'k'.

Reorder the terms:
3 + -15k + 5k2 = -3 + -5k2 + 3 + 5k2

Reorder the terms:
3 + -15k + 5k2 = -3 + 3 + -5k2 + 5k2

Combine like terms: -3 + 3 = 0
3 + -15k + 5k2 = 0 + -5k2 + 5k2
3 + -15k + 5k2 = -5k2 + 5k2

Combine like terms: -5k2 + 5k2 = 0
3 + -15k + 5k2 = 0

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
0.6 + -3k + k2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -3k + -0.6 + k2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + -3k + k2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -3k + k2 = 0 + -0.6
-3k + k2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
-3k + k2 = -0.6

The k term is -3k.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3k + 2.25 + k2 = -0.6 + 2.25

Reorder the terms:
2.25 + -3k + k2 = -0.6 + 2.25

Combine like terms: -0.6 + 2.25 = 1.65
2.25 + -3k + k2 = 1.65

Factor a perfect square on the left side:
(k + -1.5)(k + -1.5) = 1.65

Calculate the square root of the right side: 1.284523258

Break this problem into two subproblems by setting 
(k + -1.5) equal to 1.284523258 and -1.284523258.

Subproblem 1
k + -1.5 = 1.284523258

Simplifying
k + -1.5 = 1.284523258

Reorder the terms:
-1.5 + k = 1.284523258

Solving
-1.5 + k = 1.284523258

Solving for variable 'k'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + k = 1.284523258 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + k = 1.284523258 + 1.5
k = 1.284523258 + 1.5

Combine like terms: 1.284523258 + 1.5 = 2.784523258
k = 2.784523258

Simplifying
k = 2.784523258

Subproblem 2
k + -1.5 = -1.284523258

Simplifying
k + -1.5 = -1.284523258

Reorder the terms:
-1.5 + k = -1.284523258

Solving
-1.5 + k = -1.284523258

Solving for variable 'k'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + k = -1.284523258 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + k = -1.284523258 + 1.5
k = -1.284523258 + 1.5

Combine like terms: -1.284523258 + 1.5 = 0.215476742
k = 0.215476742

Simplifying
k = 0.215476742

Solution
The solution to the problem is based on the solutions
from the subproblems.
k = {2.784523258, 0.215476742}