2k^2+19k+37=2

Solution for 2k^2+19k+37=2 equation:

Simplifying
2k2 + 19k + 37 = 2

Reorder the terms:
37 + 19k + 2k2 = 2

Solving
37 + 19k + 2k2 = 2

Solving for variable 'k'.

Reorder the terms:
37 + -2 + 19k + 2k2 = 2 + -2

Combine like terms: 37 + -2 = 35
35 + 19k + 2k2 = 2 + -2

Combine like terms: 2 + -2 = 0
35 + 19k + 2k2 = 0

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

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

Simplifying
7 + k = 0

Solving
7 + k = 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 + k = 0 + -7

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

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

Simplifying
k = -7
Subproblem 2
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
Solution
k = {-7, -2.5}