11k^2+14k-25=0

Solution for 11k^2+14k-25=0 equation:

Simplifying
11k2 + 14k + -25 = 0

Reorder the terms:
-25 + 14k + 11k2 = 0

Solving
-25 + 14k + 11k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-25 + -11k)(1 + -1k) = 0

Subproblem 1
Set the factor '(-25 + -11k)' equal to zero and attempt to solve:

Simplifying
-25 + -11k = 0

Solving
-25 + -11k = 0

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

Add '25' to each side of the equation.
-25 + 25 + -11k = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -11k = 0 + 25
-11k = 0 + 25

Combine like terms: 0 + 25 = 25
-11k = 25

Divide each side by '-11'.
k = -2.272727273

Simplifying
k = -2.272727273
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 = {-2.272727273, 1}