2k^2-3k-33=2

Solution for 2k^2-3k-33=2 equation:

Simplifying
2k2 + -3k + -33 = 2

Reorder the terms:
-33 + -3k + 2k2 = 2

Solving
-33 + -3k + 2k2 = 2

Solving for variable 'k'.

Reorder the terms:
-33 + -2 + -3k + 2k2 = 2 + -2

Combine like terms: -33 + -2 = -35
-35 + -3k + 2k2 = 2 + -2

Combine like terms: 2 + -2 = 0
-35 + -3k + 2k2 = 0

Factor a trinomial.
(-7 + -2k)(5 + -1k) = 0

Subproblem 1
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
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 = {-3.5, 5}