(3k-3)(2k+3)=

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

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

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

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

Multiply (-3 + 3k) * (3 + 2k)
(-3(3 + 2k) + 3k * (3 + 2k)) = 0
((3 * -3 + 2k * -3) + 3k * (3 + 2k)) = 0
((-9 + -6k) + 3k * (3 + 2k)) = 0
(-9 + -6k + (3 * 3k + 2k * 3k)) = 0
(-9 + -6k + (9k + 6k2)) = 0

Combine like terms: -6k + 9k = 3k
(-9 + 3k + 6k2) = 0

Solving
-9 + 3k + 6k2 = 0

Solving for variable 'k'.

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

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

Ignore the factor 3.
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 '(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
Solution
k = {-1.5, 1}