25=.5(h*h+8)

Solution for 25=.5(h*h+8) equation:

Simplifying
25 = 0.5(h * h + 8)

Multiply h * h
25 = 0.5(h2 + 8)

Reorder the terms:
25 = 0.5(8 + h2)
25 = (8 * 0.5 + h2 * 0.5)
25 = (4 + 0.5h2)

Solving
25 = 4 + 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.
25 + -0.5h2 = 4 + 0.5h2 + -0.5h2

Combine like terms: 0.5h2 + -0.5h2 = 0.0
25 + -0.5h2 = 4 + 0.0
25 + -0.5h2 = 4

Add '-25' to each side of the equation.
25 + -25 + -0.5h2 = 4 + -25

Combine like terms: 25 + -25 = 0
0 + -0.5h2 = 4 + -25
-0.5h2 = 4 + -25

Combine like terms: 4 + -25 = -21
-0.5h2 = -21

Divide each side by '-0.5'.
h2 = 42

Simplifying
h2 = 42

Take the square root of each side:
h = {-6.480740698, 6.480740698}