10n^2-3=42

Solution for 10n^2-3=42 equation:

Simplifying
10n2 + -3 = 42

Reorder the terms:
-3 + 10n2 = 42

Solving
-3 + 10n2 = 42

Solving for variable 'n'.

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

Add '3' to each side of the equation.
-3 + 3 + 10n2 = 42 + 3

Combine like terms: -3 + 3 = 0
0 + 10n2 = 42 + 3
10n2 = 42 + 3

Combine like terms: 42 + 3 = 45
10n2 = 45

Divide each side by '10'.
n2 = 4.5

Simplifying
n2 = 4.5

Take the square root of each side:
n = {-2.121320344, 2.121320344}