2n^2+10=78

Solution for 2n^2+10=78 equation:

Simplifying
2n2 + 10 = 78

Reorder the terms:
10 + 2n2 = 78

Solving
10 + 2n2 = 78

Solving for variable 'n'.

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

Add '-10' to each side of the equation.
10 + -10 + 2n2 = 78 + -10

Combine like terms: 10 + -10 = 0
0 + 2n2 = 78 + -10
2n2 = 78 + -10

Combine like terms: 78 + -10 = 68
2n2 = 68

Divide each side by '2'.
n2 = 34

Simplifying
n2 = 34

Take the square root of each side:
n = {-5.830951895, 5.830951895}