2n^2+1=16n^2

Solution for 2n^2+1=16n^2 equation:

Simplifying
2n2 + 1 = 16n2

Reorder the terms:
1 + 2n2 = 16n2

Solving
1 + 2n2 = 16n2

Solving for variable 'n'.

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

Add '-16n2' to each side of the equation.
1 + 2n2 + -16n2 = 16n2 + -16n2

Combine like terms: 2n2 + -16n2 = -14n2
1 + -14n2 = 16n2 + -16n2

Combine like terms: 16n2 + -16n2 = 0
1 + -14n2 = 0

Add '-1' to each side of the equation.
1 + -1 + -14n2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -14n2 = 0 + -1
-14n2 = 0 + -1

Combine like terms: 0 + -1 = -1
-14n2 = -1

Divide each side by '-14'.
n2 = 0.07142857143

Simplifying
n2 = 0.07142857143

Take the square root of each side:
n = {-0.267261242, 0.267261242}