(-3k+2)(-5k-6)=0

Solution for (-3k+2)(-5k-6)=0 equation:

Simplifying
(-3k + 2)(-5k + -6) = 0

Reorder the terms:
(2 + -3k)(-5k + -6) = 0

Reorder the terms:
(2 + -3k)(-6 + -5k) = 0

Multiply (2 + -3k) * (-6 + -5k)
(2(-6 + -5k) + -3k * (-6 + -5k)) = 0
((-6 * 2 + -5k * 2) + -3k * (-6 + -5k)) = 0
((-12 + -10k) + -3k * (-6 + -5k)) = 0
(-12 + -10k + (-6 * -3k + -5k * -3k)) = 0
(-12 + -10k + (18k + 15k2)) = 0

Combine like terms: -10k + 18k = 8k
(-12 + 8k + 15k2) = 0

Solving
-12 + 8k + 15k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-6 + -5k)(2 + -3k) = 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 '(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
Solution
k = {-1.2, 0.6666666667}