(5k+6)(k-4)=

Solution for (5k+6)(k-4)= equation:

Simplifying
(5k + 6)(k + -4) = 0

Reorder the terms:
(6 + 5k)(k + -4) = 0

Reorder the terms:
(6 + 5k)(-4 + k) = 0

Multiply (6 + 5k) * (-4 + k)
(6(-4 + k) + 5k * (-4 + k)) = 0
((-4 * 6 + k * 6) + 5k * (-4 + k)) = 0
((-24 + 6k) + 5k * (-4 + k)) = 0
(-24 + 6k + (-4 * 5k + k * 5k)) = 0
(-24 + 6k + (-20k + 5k2)) = 0

Combine like terms: 6k + -20k = -14k
(-24 + -14k + 5k2) = 0

Solving
-24 + -14k + 5k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-6 + -5k)(4 + -1k) = 0

Subproblem 1
Set the factor '(-6 + -5k)' equal to zero and attempt to solve:

Simplifying
-6 + -5k = 0

Solving
-6 + -5k = 0

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

Add '6' to each side of the equation.
-6 + 6 + -5k = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5k = 0 + 6
-5k = 0 + 6

Combine like terms: 0 + 6 = 6
-5k = 6

Divide each side by '-5'.
k = -1.2

Simplifying
k = -1.2
Subproblem 2
Set the factor '(4 + -1k)' equal to zero and attempt to solve:

Simplifying
4 + -1k = 0

Solving
4 + -1k = 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 + -1k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1k = 0 + -4
-1k = 0 + -4

Combine like terms: 0 + -4 = -4
-1k = -4

Divide each side by '-1'.
k = 4

Simplifying
k = 4
Solution
k = {-1.2, 4}