2k^2=-12+11k

Solution for 2k^2=-12+11k equation:

Simplifying
2k2 = -12 + 11k

Solving
2k2 = -12 + 11k

Solving for variable 'k'.

Reorder the terms:
12 + -11k + 2k2 = -12 + 11k + 12 + -11k

Reorder the terms:
12 + -11k + 2k2 = -12 + 12 + 11k + -11k

Combine like terms: -12 + 12 = 0
12 + -11k + 2k2 = 0 + 11k + -11k
12 + -11k + 2k2 = 11k + -11k

Combine like terms: 11k + -11k = 0
12 + -11k + 2k2 = 0

Factor a trinomial.
(3 + -2k)(4 + -1k) = 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 '(4 + -1k)' equal to zero and attempt to solve:

Simplifying
4 + -1k = 0

Solving
4 + -1k = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1k = 0 + -4
-1k = 0 + -4

Combine like terms: 0 + -4 = -4
-1k = -4

Divide each side by '-1'.
k = 4

Simplifying
k = 4
Solution
k = {1.5, 4}