-8k^2+20k-8=

Solution for -8k^2+20k-8= equation:

Simplifying
-8k2 + 20k + -8 = 0

Reorder the terms:
-8 + 20k + -8k2 = 0

Solving
-8 + 20k + -8k2 = 0

Solving for variable 'k'.

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

Factor a trinomial.
4((-2 + k)(1 + -2k)) = 0

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

Simplifying
-2 + k = 0

Solving
-2 + k = 0

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

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

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

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

Simplifying
k = 2
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 = {2, 0.5}