(7k+2)(3-2k)=

Solution for (7k+2)(3-2k)= equation:

Simplifying
(7k + 2)(3 + -2k) = 0

Reorder the terms:
(2 + 7k)(3 + -2k) = 0

Multiply (2 + 7k) * (3 + -2k)
(2(3 + -2k) + 7k * (3 + -2k)) = 0
((3 * 2 + -2k * 2) + 7k * (3 + -2k)) = 0
((6 + -4k) + 7k * (3 + -2k)) = 0
(6 + -4k + (3 * 7k + -2k * 7k)) = 0
(6 + -4k + (21k + -14k2)) = 0

Combine like terms: -4k + 21k = 17k
(6 + 17k + -14k2) = 0

Solving
6 + 17k + -14k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(3 + -2k)(2 + 7k) = 0

Subproblem 1
Set the factor '(3 + -2k)' equal to zero and attempt to solve:

Simplifying
3 + -2k = 0

Solving
3 + -2k = 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 + -2k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2k = 0 + -3
-2k = 0 + -3

Combine like terms: 0 + -3 = -3
-2k = -3

Divide each side by '-2'.
k = 1.5

Simplifying
k = 1.5
Subproblem 2
Set the factor '(2 + 7k)' equal to zero and attempt to solve:

Simplifying
2 + 7k = 0

Solving
2 + 7k = 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 + 7k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7k = 0 + -2
7k = 0 + -2

Combine like terms: 0 + -2 = -2
7k = -2

Divide each side by '7'.
k = -0.2857142857

Simplifying
k = -0.2857142857
Solution
k = {1.5, -0.2857142857}