(2+3k)(3-4k)=

Solution for (2+3k)(3-4k)= equation:

Simplifying
(2 + 3k)(3 + -4k) = 0

Multiply (2 + 3k) * (3 + -4k)
(2(3 + -4k) + 3k * (3 + -4k)) = 0
((3 * 2 + -4k * 2) + 3k * (3 + -4k)) = 0
((6 + -8k) + 3k * (3 + -4k)) = 0
(6 + -8k + (3 * 3k + -4k * 3k)) = 0
(6 + -8k + (9k + -12k2)) = 0

Combine like terms: -8k + 9k = 1k
(6 + 1k + -12k2) = 0

Solving
6 + 1k + -12k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(3 + -4k)(2 + 3k) = 0

Subproblem 1
Set the factor '(3 + -4k)' equal to zero and attempt to solve:

Simplifying
3 + -4k = 0

Solving
3 + -4k = 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 + -4k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4k = 0 + -3
-4k = 0 + -3

Combine like terms: 0 + -3 = -3
-4k = -3

Divide each side by '-4'.
k = 0.75

Simplifying
k = 0.75
Subproblem 2
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
Solution
k = {0.75, -0.6666666667}