10n^2+2=42

Solution for 10n^2+2=42 equation:

Simplifying
10n2 + 2 = 42

Reorder the terms:
2 + 10n2 = 42

Solving
2 + 10n2 = 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 + 10n2 = 42 + -2

Combine like terms: 2 + -2 = 0
0 + 10n2 = 42 + -2
10n2 = 42 + -2

Combine like terms: 42 + -2 = 40
10n2 = 40

Divide each side by '10'.
n2 = 4

Simplifying
n2 = 4

Take the square root of each side:
n = {-2, 2}