(4k+3)(5k+2)=

Solution for (4k+3)(5k+2)= equation:

Simplifying
(4k + 3)(5k + 2) = 0

Reorder the terms:
(3 + 4k)(5k + 2) = 0

Reorder the terms:
(3 + 4k)(2 + 5k) = 0

Multiply (3 + 4k) * (2 + 5k)
(3(2 + 5k) + 4k * (2 + 5k)) = 0
((2 * 3 + 5k * 3) + 4k * (2 + 5k)) = 0
((6 + 15k) + 4k * (2 + 5k)) = 0
(6 + 15k + (2 * 4k + 5k * 4k)) = 0
(6 + 15k + (8k + 20k2)) = 0

Combine like terms: 15k + 8k = 23k
(6 + 23k + 20k2) = 0

Solving
6 + 23k + 20k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(3 + 4k)(2 + 5k) = 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 + 5k)' equal to zero and attempt to solve:

Simplifying
2 + 5k = 0

Solving
2 + 5k = 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 + 5k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5k = 0 + -2
5k = 0 + -2

Combine like terms: 0 + -2 = -2
5k = -2

Divide each side by '5'.
k = -0.4

Simplifying
k = -0.4
Solution
k = {-0.75, -0.4}