16n^2-114+14=0

Solution for 16n^2-114+14=0 equation:

Simplifying
16n2 + -114 + 14 = 0

Reorder the terms:
-114 + 14 + 16n2 = 0

Combine like terms: -114 + 14 = -100
-100 + 16n2 = 0

Solving
-100 + 16n2 = 0

Solving for variable 'n'.

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

Add '100' to each side of the equation.
-100 + 100 + 16n2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + 16n2 = 0 + 100
16n2 = 0 + 100

Combine like terms: 0 + 100 = 100
16n2 = 100

Divide each side by '16'.
n2 = 6.25

Simplifying
n2 = 6.25

Take the square root of each side:
n = {-2.5, 2.5}