(2k+9)(3k-4)=

Solution for (2k+9)(3k-4)= equation:

Simplifying
(2k + 9)(3k + -4) = 0

Reorder the terms:
(9 + 2k)(3k + -4) = 0

Reorder the terms:
(9 + 2k)(-4 + 3k) = 0

Multiply (9 + 2k) * (-4 + 3k)
(9(-4 + 3k) + 2k * (-4 + 3k)) = 0
((-4 * 9 + 3k * 9) + 2k * (-4 + 3k)) = 0
((-36 + 27k) + 2k * (-4 + 3k)) = 0
(-36 + 27k + (-4 * 2k + 3k * 2k)) = 0
(-36 + 27k + (-8k + 6k2)) = 0

Combine like terms: 27k + -8k = 19k
(-36 + 19k + 6k2) = 0

Solving
-36 + 19k + 6k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-9 + -2k)(4 + -3k) = 0

Subproblem 1
Set the factor '(-9 + -2k)' equal to zero and attempt to solve:

Simplifying
-9 + -2k = 0

Solving
-9 + -2k = 0

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

Add '9' to each side of the equation.
-9 + 9 + -2k = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2k = 0 + 9
-2k = 0 + 9

Combine like terms: 0 + 9 = 9
-2k = 9

Divide each side by '-2'.
k = -4.5

Simplifying
k = -4.5
Subproblem 2
Set the factor '(4 + -3k)' equal to zero and attempt to solve:

Simplifying
4 + -3k = 0

Solving
4 + -3k = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3k = 0 + -4

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

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

Divide each side by '-3'.
k = 1.333333333

Simplifying
k = 1.333333333
Solution
k = {-4.5, 1.333333333}