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

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

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

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

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

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

Combine like terms: 2k + -9k = -7k
(-6 + -7k + 3k2) = 0

Solving
-6 + -7k + 3k2 = 0

Solving for variable 'k'.

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

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

Simplifying
-2 + -3k = 0

Solving
-2 + -3k = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3k = 0 + 2

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

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

Divide each side by '-3'.
k = -0.6666666667

Simplifying
k = -0.6666666667
Subproblem 2
Set the factor '(3 + -1k)' equal to zero and attempt to solve:

Simplifying
3 + -1k = 0

Solving
3 + -1k = 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 + -1k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1k = 0 + -3
-1k = 0 + -3

Combine like terms: 0 + -3 = -3
-1k = -3

Divide each side by '-1'.
k = 3

Simplifying
k = 3
Solution
k = {-0.6666666667, 3}