11k^2-14-16=0

Solution for 11k^2-14-16=0 equation:

Simplifying
11k2 + -14 + -16 = 0

Reorder the terms:
-14 + -16 + 11k2 = 0

Combine like terms: -14 + -16 = -30
-30 + 11k2 = 0

Solving
-30 + 11k2 = 0

Solving for variable 'k'.

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

Add '30' to each side of the equation.
-30 + 30 + 11k2 = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 11k2 = 0 + 30
11k2 = 0 + 30

Combine like terms: 0 + 30 = 30
11k2 = 30

Divide each side by '11'.
k2 = 2.727272727

Simplifying
k2 = 2.727272727

Take the square root of each side:
k = {-1.651445648, 1.651445648}