8k^2+80k+130=2

Solution for 8k^2+80k+130=2 equation:

Simplifying
8k2 + 80k + 130 = 2

Reorder the terms:
130 + 80k + 8k2 = 2

Solving
130 + 80k + 8k2 = 2

Solving for variable 'k'.

Reorder the terms:
130 + -2 + 80k + 8k2 = 2 + -2

Combine like terms: 130 + -2 = 128
128 + 80k + 8k2 = 2 + -2

Combine like terms: 2 + -2 = 0
128 + 80k + 8k2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(16 + 10k + k2) = 0

Factor a trinomial.
8((8 + k)(2 + k)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(8 + k)' equal to zero and attempt to solve:

Simplifying
8 + k = 0

Solving
8 + k = 0

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

Add '-8' to each side of the equation.
8 + -8 + k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + k = 0 + -8
k = 0 + -8

Combine like terms: 0 + -8 = -8
k = -8

Simplifying
k = -8
Subproblem 2
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
Solution
k = {-8, -2}