-k-(4*k*k)-k=0

Solution for -k-(4*k*k)-k=0 equation:

Simplifying
-1k + -1(4k * k) + -1k = 0

Multiply k * k
-1k + -1(4k2) + -1k = 0

Remove parenthesis around (4k2)
-1k + -1 * 4k2 + -1k = 0

Multiply -1 * 4
-1k + -4k2 + -1k = 0

Reorder the terms:
-1k + -1k + -4k2 = 0

Combine like terms: -1k + -1k = -2k
-2k + -4k2 = 0

Solving
-2k + -4k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '-2k'.
-2k(1 + 2k) = 0

Ignore the factor -2.
Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0
Subproblem 2
Set the factor '(1 + 2k)' equal to zero and attempt to solve:

Simplifying
1 + 2k = 0

Solving
1 + 2k = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2k = 0 + -1
2k = 0 + -1

Combine like terms: 0 + -1 = -1
2k = -1

Divide each side by '2'.
k = -0.5

Simplifying
k = -0.5
Solution
k = {0, -0.5}