12k^2-50k=18

Solution for 12k^2-50k=18 equation:

Simplifying
12k2 + -50k = 18

Reorder the terms:
-50k + 12k2 = 18

Solving
-50k + 12k2 = 18

Solving for variable 'k'.

Reorder the terms:
-18 + -50k + 12k2 = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + -50k + 12k2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + -25k + 6k2) = 0

Factor a trinomial.
2((-1 + -3k)(9 + -2k)) = 0

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

Simplifying
-1 + -3k = 0

Solving
-1 + -3k = 0

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

Add '1' to each side of the equation.
-1 + 1 + -3k = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3k = 0 + 1
-3k = 0 + 1

Combine like terms: 0 + 1 = 1
-3k = 1

Divide each side by '-3'.
k = -0.3333333333

Simplifying
k = -0.3333333333
Subproblem 2
Set the factor '(9 + -2k)' equal to zero and attempt to solve:

Simplifying
9 + -2k = 0

Solving
9 + -2k = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2k = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2k = 0 + -9
-2k = 0 + -9

Combine like terms: 0 + -9 = -9
-2k = -9

Divide each side by '-2'.
k = 4.5

Simplifying
k = 4.5
Solution
k = {-0.3333333333, 4.5}