9k^2+4=12k

Solution for 9k^2+4=12k equation:

Simplifying
9k2 + 4 = 12k

Reorder the terms:
4 + 9k2 = 12k

Solving
4 + 9k2 = 12k

Solving for variable 'k'.

Reorder the terms:
4 + -12k + 9k2 = 12k + -12k

Combine like terms: 12k + -12k = 0
4 + -12k + 9k2 = 0

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