2(39)=n^2+3

Solution for 2(39)=n^2+3 equation:

Simplifying
2(39) = n2 + 3

Multiply 2 * 39
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 = -75
-1n2 = -75

Divide each side by '-1'.
n2 = 75

Simplifying
n2 = 75

Take the square root of each side:
n = {-8.660254038, 8.660254038}