2k^2+3k-14=0

Solution for 2k^2+3k-14=0 equation:

Simplifying
2k2 + 3k + -14 = 0

Reorder the terms:
-14 + 3k + 2k2 = 0

Solving
-14 + 3k + 2k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-7 + -2k)(2 + -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 '(2 + -1k)' equal to zero and attempt to solve:

Simplifying
2 + -1k = 0

Solving
2 + -1k = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1k = 0 + -2
-1k = 0 + -2

Combine like terms: 0 + -2 = -2
-1k = -2

Divide each side by '-1'.
k = 2

Simplifying
k = 2
Solution
k = {-3.5, 2}