(-k+6)(-8k-3)=

Solution for (-k+6)(-8k-3)= equation:

Simplifying
(-1k + 6)(-8k + -3) = 0

Reorder the terms:
(6 + -1k)(-8k + -3) = 0

Reorder the terms:
(6 + -1k)(-3 + -8k) = 0

Multiply (6 + -1k) * (-3 + -8k)
(6(-3 + -8k) + -1k * (-3 + -8k)) = 0
((-3 * 6 + -8k * 6) + -1k * (-3 + -8k)) = 0
((-18 + -48k) + -1k * (-3 + -8k)) = 0
(-18 + -48k + (-3 * -1k + -8k * -1k)) = 0
(-18 + -48k + (3k + 8k2)) = 0

Combine like terms: -48k + 3k = -45k
(-18 + -45k + 8k2) = 0

Solving
-18 + -45k + 8k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-3 + -8k)(6 + -1k) = 0

Subproblem 1
Set the factor '(-3 + -8k)' equal to zero and attempt to solve:

Simplifying
-3 + -8k = 0

Solving
-3 + -8k = 0

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

Add '3' to each side of the equation.
-3 + 3 + -8k = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -8k = 0 + 3
-8k = 0 + 3

Combine like terms: 0 + 3 = 3
-8k = 3

Divide each side by '-8'.
k = -0.375

Simplifying
k = -0.375
Subproblem 2
Set the factor '(6 + -1k)' equal to zero and attempt to solve:

Simplifying
6 + -1k = 0

Solving
6 + -1k = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1k = 0 + -6
-1k = 0 + -6

Combine like terms: 0 + -6 = -6
-1k = -6

Divide each side by '-1'.
k = 6

Simplifying
k = 6
Solution
k = {-0.375, 6}