4k^2-16k-3=-3

Solution for 4k^2-16k-3=-3 equation:

Simplifying
4k2 + -16k + -3 = -3

Reorder the terms:
-3 + -16k + 4k2 = -3

Add '3' to each side of the equation.
-3 + -16k + 3 + 4k2 = -3 + 3

Reorder the terms:
-3 + 3 + -16k + 4k2 = -3 + 3

Combine like terms: -3 + 3 = 0
0 + -16k + 4k2 = -3 + 3
-16k + 4k2 = -3 + 3

Combine like terms: -3 + 3 = 0
-16k + 4k2 = 0

Solving
-16k + 4k2 = 0

Solving for variable 'k'.

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

Ignore the factor 4.
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 '(-4 + k)' equal to zero and attempt to solve:

Simplifying
-4 + k = 0

Solving
-4 + k = 0

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

Add '4' to each side of the equation.
-4 + 4 + k = 0 + 4

Combine like terms: -4 + 4 = 0
0 + k = 0 + 4
k = 0 + 4

Combine like terms: 0 + 4 = 4
k = 4

Simplifying
k = 4
Solution
k = {0, 4}