4k^2+11k-11=-8

Solution for 4k^2+11k-11=-8 equation:

Simplifying
4k2 + 11k + -11 = -8

Reorder the terms:
-11 + 11k + 4k2 = -8

Solving
-11 + 11k + 4k2 = -8

Solving for variable 'k'.

Reorder the terms:
-11 + 8 + 11k + 4k2 = -8 + 8

Combine like terms: -11 + 8 = -3
-3 + 11k + 4k2 = -8 + 8

Combine like terms: -8 + 8 = 0
-3 + 11k + 4k2 = 0

Factor a trinomial.
(-3 + -1k)(1 + -4k) = 0

Subproblem 1
Set the factor '(-3 + -1k)' equal to zero and attempt to solve:

Simplifying
-3 + -1k = 0

Solving
-3 + -1k = 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 + -1k = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1k = 0 + 3
-1k = 0 + 3

Combine like terms: 0 + 3 = 3
-1k = 3

Divide each side by '-1'.
k = -3

Simplifying
k = -3
Subproblem 2
Set the factor '(1 + -4k)' equal to zero and attempt to solve:

Simplifying
1 + -4k = 0

Solving
1 + -4k = 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 + -4k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4k = 0 + -1
-4k = 0 + -1

Combine like terms: 0 + -1 = -1
-4k = -1

Divide each side by '-4'.
k = 0.25

Simplifying
k = 0.25
Solution
k = {-3, 0.25}