4k^2+11k-15=0

Solution for 4k^2+11k-15=0 equation:

Simplifying
4k2 + 11k + -15 = 0

Reorder the terms:
-15 + 11k + 4k2 = 0

Solving
-15 + 11k + 4k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-15 + -4k)(1 + -1k) = 0

Subproblem 1
Set the factor '(-15 + -4k)' equal to zero and attempt to solve:

Simplifying
-15 + -4k = 0

Solving
-15 + -4k = 0

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

Add '15' to each side of the equation.
-15 + 15 + -4k = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -4k = 0 + 15
-4k = 0 + 15

Combine like terms: 0 + 15 = 15
-4k = 15

Divide each side by '-4'.
k = -3.75

Simplifying
k = -3.75
Subproblem 2
Set the factor '(1 + -1k)' equal to zero and attempt to solve:

Simplifying
1 + -1k = 0

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

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

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

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

Simplifying
k = 1
Solution
k = {-3.75, 1}