(2k-5)(3k-2)=

Solution for (2k-5)(3k-2)= equation:

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

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

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

Multiply (-5 + 2k) * (-2 + 3k)
(-5(-2 + 3k) + 2k * (-2 + 3k)) = 0
((-2 * -5 + 3k * -5) + 2k * (-2 + 3k)) = 0
((10 + -15k) + 2k * (-2 + 3k)) = 0
(10 + -15k + (-2 * 2k + 3k * 2k)) = 0
(10 + -15k + (-4k + 6k2)) = 0

Combine like terms: -15k + -4k = -19k
(10 + -19k + 6k2) = 0

Solving
10 + -19k + 6k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(2 + -3k)(5 + -2k) = 0

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

Simplifying
2 + -3k = 0

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

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

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

Divide each side by '-3'.
k = 0.6666666667

Simplifying
k = 0.6666666667
Subproblem 2
Set the factor '(5 + -2k)' equal to zero and attempt to solve:

Simplifying
5 + -2k = 0

Solving
5 + -2k = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2k = 0 + -5

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

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

Divide each side by '-2'.
k = 2.5

Simplifying
k = 2.5
Solution
k = {0.6666666667, 2.5}