(5k+4)(3k-4)=

Solution for (5k+4)(3k-4)= equation:

Simplifying
(5k + 4)(3k + -4) = 0

Reorder the terms:
(4 + 5k)(3k + -4) = 0

Reorder the terms:
(4 + 5k)(-4 + 3k) = 0

Multiply (4 + 5k) * (-4 + 3k)
(4(-4 + 3k) + 5k * (-4 + 3k)) = 0
((-4 * 4 + 3k * 4) + 5k * (-4 + 3k)) = 0
((-16 + 12k) + 5k * (-4 + 3k)) = 0
(-16 + 12k + (-4 * 5k + 3k * 5k)) = 0
(-16 + 12k + (-20k + 15k2)) = 0

Combine like terms: 12k + -20k = -8k
(-16 + -8k + 15k2) = 0

Solving
-16 + -8k + 15k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-4 + -5k)(4 + -3k) = 0

Subproblem 1
Set the factor '(-4 + -5k)' equal to zero and attempt to solve:

Simplifying
-4 + -5k = 0

Solving
-4 + -5k = 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 + -5k = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5k = 0 + 4
-5k = 0 + 4

Combine like terms: 0 + 4 = 4
-5k = 4

Divide each side by '-5'.
k = -0.8

Simplifying
k = -0.8
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 = {-0.8, 1.333333333}