40=.5h^2

Solution for 40=.5h^2 equation:

Simplifying
40 = 0.5h2

Solving
40 = 0.5h2

Solving for variable 'h'.

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

Add '-0.5h2' to each side of the equation.
40 + -0.5h2 = 0.5h2 + -0.5h2

Combine like terms: 0.5h2 + -0.5h2 = 0.0
40 + -0.5h2 = 0.0

Add '-40' to each side of the equation.
40 + -40 + -0.5h2 = 0.0 + -40

Combine like terms: 40 + -40 = 0
0 + -0.5h2 = 0.0 + -40
-0.5h2 = 0.0 + -40

Combine like terms: 0.0 + -40 = -40
-0.5h2 = -40

Divide each side by '-0.5'.
h2 = 80

Simplifying
h2 = 80

Take the square root of each side:
h = {-8.94427191, 8.94427191}