2k^2-9k+11=4

Solution for 2k^2-9k+11=4 equation:

Simplifying
2k2 + -9k + 11 = 4

Reorder the terms:
11 + -9k + 2k2 = 4

Solving
11 + -9k + 2k2 = 4

Solving for variable 'k'.

Reorder the terms:
11 + -4 + -9k + 2k2 = 4 + -4

Combine like terms: 11 + -4 = 7
7 + -9k + 2k2 = 4 + -4

Combine like terms: 4 + -4 = 0
7 + -9k + 2k2 = 0

Factor a trinomial.
(1 + -1k)(7 + -2k) = 0

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

Simplifying
1 + -1k = 0

Solving
1 + -1k = 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 + -1k = 0 + -1

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

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

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

Simplifying
k = 1
Subproblem 2
Set the factor '(7 + -2k)' equal to zero and attempt to solve:

Simplifying
7 + -2k = 0

Solving
7 + -2k = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2k = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2k = 0 + -7
-2k = 0 + -7

Combine like terms: 0 + -7 = -7
-2k = -7

Divide each side by '-2'.
k = 3.5

Simplifying
k = 3.5
Solution
k = {1, 3.5}