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

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

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

Reorder the terms:
-3 + -4k + -8k = -3 + -5k2

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

Add '3' to each side of the equation.
-3 + 3 + -12k = -3 + 3 + -5k2

Combine like terms: -3 + 3 = 0
0 + -12k = -3 + 3 + -5k2
-12k = -3 + 3 + -5k2

Combine like terms: -3 + 3 = 0
-12k = 0 + -5k2
-12k = -5k2

Solving
-12k = -5k2

Solving for variable 'k'.

Combine like terms: -5k2 + 5k2 = 0
-12k + 5k2 = 0

Factor out the Greatest Common Factor (GCF), 'k'.
k(-12 + 5k) = 0

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 '(-12 + 5k)' equal to zero and attempt to solve:

Simplifying
-12 + 5k = 0

Solving
-12 + 5k = 0

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

Add '12' to each side of the equation.
-12 + 12 + 5k = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 5k = 0 + 12
5k = 0 + 12

Combine like terms: 0 + 12 = 12
5k = 12

Divide each side by '5'.
k = 2.4

Simplifying
k = 2.4
Solution
k = {0, 2.4}