5k^2+27k-14=4

Solution for 5k^2+27k-14=4 equation:

Simplifying
5k2 + 27k + -14 = 4

Reorder the terms:
-14 + 27k + 5k2 = 4

Solving
-14 + 27k + 5k2 = 4

Solving for variable 'k'.

Reorder the terms:
-14 + -4 + 27k + 5k2 = 4 + -4

Combine like terms: -14 + -4 = -18
-18 + 27k + 5k2 = 4 + -4

Combine like terms: 4 + -4 = 0
-18 + 27k + 5k2 = 0

Factor a trinomial.
(-6 + -1k)(3 + -5k) = 0

Subproblem 1
Set the factor '(-6 + -1k)' equal to zero and attempt to solve:

Simplifying
-6 + -1k = 0

Solving
-6 + -1k = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1k = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1k = 0 + 6
-1k = 0 + 6

Combine like terms: 0 + 6 = 6
-1k = 6

Divide each side by '-1'.
k = -6

Simplifying
k = -6
Subproblem 2
Set the factor '(3 + -5k)' equal to zero and attempt to solve:

Simplifying
3 + -5k = 0

Solving
3 + -5k = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5k = 0 + -3
-5k = 0 + -3

Combine like terms: 0 + -3 = -3
-5k = -3

Divide each side by '-5'.
k = 0.6

Simplifying
k = 0.6
Solution
k = {-6, 0.6}