(3k-3)(2k-5)=

Solution for (3k-3)(2k-5)= equation:

Simplifying
(3k + -3)(2k + -5) = 0

Reorder the terms:
(-3 + 3k)(2k + -5) = 0

Reorder the terms:
(-3 + 3k)(-5 + 2k) = 0

Multiply (-3 + 3k) * (-5 + 2k)
(-3(-5 + 2k) + 3k * (-5 + 2k)) = 0
((-5 * -3 + 2k * -3) + 3k * (-5 + 2k)) = 0
((15 + -6k) + 3k * (-5 + 2k)) = 0
(15 + -6k + (-5 * 3k + 2k * 3k)) = 0
(15 + -6k + (-15k + 6k2)) = 0

Combine like terms: -6k + -15k = -21k
(15 + -21k + 6k2) = 0

Solving
15 + -21k + 6k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -7k + 2k2) = 0

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

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

Simplifying
1 + -1k = 0

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

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

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

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

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

Simplifying
5 + -2k = 0

Solving
5 + -2k = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2k = 0 + -5
-2k = 0 + -5

Combine like terms: 0 + -5 = -5
-2k = -5

Divide each side by '-2'.
k = 2.5

Simplifying
k = 2.5
Solution
k = {1, 2.5}