-5k(6k+6)+8(8k+1)=

Solution for -5k(6k+6)+8(8k+1)= equation:

Simplifying
-5k(6k + 6) + 8(8k + 1) = 0

Reorder the terms:
-5k(6 + 6k) + 8(8k + 1) = 0
(6 * -5k + 6k * -5k) + 8(8k + 1) = 0
(-30k + -30k2) + 8(8k + 1) = 0

Reorder the terms:
-30k + -30k2 + 8(1 + 8k) = 0
-30k + -30k2 + (1 * 8 + 8k * 8) = 0
-30k + -30k2 + (8 + 64k) = 0

Reorder the terms:
8 + -30k + 64k + -30k2 = 0

Combine like terms: -30k + 64k = 34k
8 + 34k + -30k2 = 0

Solving
8 + 34k + -30k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 17k + -15k2) = 0

Factor a trinomial.
2((4 + -3k)(1 + 5k)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + -3k)' equal to zero and attempt to solve:

Simplifying
4 + -3k = 0

Solving
4 + -3k = 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 + -3k = 0 + -4

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

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

Divide each side by '-3'.
k = 1.333333333

Simplifying
k = 1.333333333
Subproblem 2
Set the factor '(1 + 5k)' equal to zero and attempt to solve:

Simplifying
1 + 5k = 0

Solving
1 + 5k = 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 + 5k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5k = 0 + -1
5k = 0 + -1

Combine like terms: 0 + -1 = -1
5k = -1

Divide each side by '5'.
k = -0.2

Simplifying
k = -0.2
Solution
k = {1.333333333, -0.2}