(k-8)(2k-3)=

Solution for (k-8)(2k-3)= equation:

Simplifying
(k + -8)(2k + -3) = 0

Reorder the terms:
(-8 + k)(2k + -3) = 0

Reorder the terms:
(-8 + k)(-3 + 2k) = 0

Multiply (-8 + k) * (-3 + 2k)
(-8(-3 + 2k) + k(-3 + 2k)) = 0
((-3 * -8 + 2k * -8) + k(-3 + 2k)) = 0
((24 + -16k) + k(-3 + 2k)) = 0
(24 + -16k + (-3 * k + 2k * k)) = 0
(24 + -16k + (-3k + 2k2)) = 0

Combine like terms: -16k + -3k = -19k
(24 + -19k + 2k2) = 0

Solving
24 + -19k + 2k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(3 + -2k)(8 + -1k) = 0

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

Simplifying
3 + -2k = 0

Solving
3 + -2k = 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 + -2k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2k = 0 + -3
-2k = 0 + -3

Combine like terms: 0 + -3 = -3
-2k = -3

Divide each side by '-2'.
k = 1.5

Simplifying
k = 1.5
Subproblem 2
Set the factor '(8 + -1k)' equal to zero and attempt to solve:

Simplifying
8 + -1k = 0

Solving
8 + -1k = 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 + -1k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1k = 0 + -8
-1k = 0 + -8

Combine like terms: 0 + -8 = -8
-1k = -8

Divide each side by '-1'.
k = 8

Simplifying
k = 8
Solution
k = {1.5, 8}