(4n^2)+2=42

Solution for (4n^2)+2=42 equation:

Simplifying
(4n2) + 2 = 42

Reorder the terms:
2 + (4n2) = 42

Solving
2 + (4n2) = 42

Solving for variable 'n'.

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

Add '-2' to each side of the equation.
2 + -2 + (4n2) = 42 + -2

Combine like terms: 2 + -2 = 0
0 + (4n2) = 42 + -2
(4n2) = 42 + -2

Combine like terms: 42 + -2 = 40
(4n2) = 40

Divide each side by '4'.
n2 = 10

Simplifying
n2 = 10

Take the square root of each side:
n = {-3.16227766, 3.16227766}