4h^2+1=81

Solution for 4h^2+1=81 equation:

Simplifying
4h2 + 1 = 81

Reorder the terms:
1 + 4h2 = 81

Solving
1 + 4h2 = 81

Solving for variable 'h'.

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

Add '-1' to each side of the equation.
1 + -1 + 4h2 = 81 + -1

Combine like terms: 1 + -1 = 0
0 + 4h2 = 81 + -1
4h2 = 81 + -1

Combine like terms: 81 + -1 = 80
4h2 = 80

Divide each side by '4'.
h2 = 20

Simplifying
h2 = 20

Take the square root of each side:
h = {-4.472135955, 4.472135955}