2k^2-15k+27=2

Solution for 2k^2-15k+27=2 equation:

Simplifying
2k2 + -15k + 27 = 2

Reorder the terms:
27 + -15k + 2k2 = 2

Solving
27 + -15k + 2k2 = 2

Solving for variable 'k'.

Reorder the terms:
27 + -2 + -15k + 2k2 = 2 + -2

Combine like terms: 27 + -2 = 25
25 + -15k + 2k2 = 2 + -2

Combine like terms: 2 + -2 = 0
25 + -15k + 2k2 = 0

Factor a trinomial.
(5 + -2k)(5 + -1k) = 0

Subproblem 1
Set the factor '(5 + -2k)' equal to zero and attempt to solve:

Simplifying
5 + -2k = 0

Solving
5 + -2k = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2k = 0 + -5
-2k = 0 + -5

Combine like terms: 0 + -5 = -5
-2k = -5

Divide each side by '-2'.
k = 2.5

Simplifying
k = 2.5
Subproblem 2
Set the factor '(5 + -1k)' equal to zero and attempt to solve:

Simplifying
5 + -1k = 0

Solving
5 + -1k = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1k = 0 + -5
-1k = 0 + -5

Combine like terms: 0 + -5 = -5
-1k = -5

Divide each side by '-1'.
k = 5

Simplifying
k = 5
Solution
k = {2.5, 5}