-(8+12k)=-2k(8k-4)

Solution for -(8+12k)=-2k(8k-4) equation:

Simplifying
-1(8 + 12k) = -2k(8k + -4)
(8 * -1 + 12k * -1) = -2k(8k + -4)
(-8 + -12k) = -2k(8k + -4)

Reorder the terms:
-8 + -12k = -2k(-4 + 8k)
-8 + -12k = (-4 * -2k + 8k * -2k)
-8 + -12k = (8k + -16k2)

Solving
-8 + -12k = 8k + -16k2

Solving for variable 'k'.

Combine like terms: -12k + -8k = -20k
-8 + -20k + 16k2 = 8k + -16k2 + -8k + 16k2

Reorder the terms:
-8 + -20k + 16k2 = 8k + -8k + -16k2 + 16k2

Combine like terms: 8k + -8k = 0
-8 + -20k + 16k2 = 0 + -16k2 + 16k2
-8 + -20k + 16k2 = -16k2 + 16k2

Combine like terms: -16k2 + 16k2 = 0
-8 + -20k + 16k2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + -5k + 4k2) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-2 + -5k + 4k2)' equal to zero and attempt to solve:

Simplifying
-2 + -5k + 4k2 = 0

Solving
-2 + -5k + 4k2 = 0

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

Divide each side by '4'.
-0.5 + -1.25k + k2 = 0

Move the constant term to the right:

Add '0.5' to each side of the equation.
-0.5 + -1.25k + 0.5 + k2 = 0 + 0.5

Reorder the terms:
-0.5 + 0.5 + -1.25k + k2 = 0 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + -1.25k + k2 = 0 + 0.5
-1.25k + k2 = 0 + 0.5

Combine like terms: 0 + 0.5 = 0.5
-1.25k + k2 = 0.5

The k term is -1.25k.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25k + 0.390625 + k2 = 0.5 + 0.390625

Reorder the terms:
0.390625 + -1.25k + k2 = 0.5 + 0.390625

Combine like terms: 0.5 + 0.390625 = 0.890625
0.390625 + -1.25k + k2 = 0.890625

Factor a perfect square on the left side:
(k + -0.625)(k + -0.625) = 0.890625

Calculate the square root of the right side: 0.943729304

Break this problem into two subproblems by setting 
(k + -0.625) equal to 0.943729304 and -0.943729304.

Subproblem 1
k + -0.625 = 0.943729304

Simplifying
k + -0.625 = 0.943729304

Reorder the terms:
-0.625 + k = 0.943729304

Solving
-0.625 + k = 0.943729304

Solving for variable 'k'.

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

Add '0.625' to each side of the equation.
-0.625 + 0.625 + k = 0.943729304 + 0.625

Combine like terms: -0.625 + 0.625 = 0.000
0.000 + k = 0.943729304 + 0.625
k = 0.943729304 + 0.625

Combine like terms: 0.943729304 + 0.625 = 1.568729304
k = 1.568729304

Simplifying
k = 1.568729304

Subproblem 2
k + -0.625 = -0.943729304

Simplifying
k + -0.625 = -0.943729304

Reorder the terms:
-0.625 + k = -0.943729304

Solving
-0.625 + k = -0.943729304

Solving for variable 'k'.

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

Add '0.625' to each side of the equation.
-0.625 + 0.625 + k = -0.943729304 + 0.625

Combine like terms: -0.625 + 0.625 = 0.000
0.000 + k = -0.943729304 + 0.625
k = -0.943729304 + 0.625

Combine like terms: -0.943729304 + 0.625 = -0.318729304
k = -0.318729304

Simplifying
k = -0.318729304

Solution
The solution to the problem is based on the solutions
from the subproblems.
k = {1.568729304, -0.318729304}
Solution
k = {1.568729304, -0.318729304}