78=n^2-3

Solution for 78=n^2-3 equation:

Simplifying
78 = n2 + -3

Reorder the terms:
78 = -3 + n2

Solving
78 = -3 + n2

Solving for variable 'n'.

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

Add '-1n2' to each side of the equation.
78 + -1n2 = -3 + n2 + -1n2

Combine like terms: n2 + -1n2 = 0
78 + -1n2 = -3 + 0
78 + -1n2 = -3

Add '-78' to each side of the equation.
78 + -78 + -1n2 = -3 + -78

Combine like terms: 78 + -78 = 0
0 + -1n2 = -3 + -78
-1n2 = -3 + -78

Combine like terms: -3 + -78 = -81
-1n2 = -81

Divide each side by '-1'.
n2 = 81

Simplifying
n2 = 81

Take the square root of each side:
n = {-9, 9}