12k(4k-6+3)=

Solution for 12k(4k-6+3)= equation:

Simplifying
12k(4k + -6 + 3) = 0

Reorder the terms:
12k(-6 + 3 + 4k) = 0

Combine like terms: -6 + 3 = -3
12k(-3 + 4k) = 0
(-3 * 12k + 4k * 12k) = 0
(-36k + 48k2) = 0

Solving
-36k + 48k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '12k'.
12k(-3 + 4k) = 0

Ignore the factor 12.
Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0
Subproblem 2
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
Solution
k = {0, 0.75}