578=0.5*4h*h

Solution for 578=0.5*4h*h equation:

Simplifying
578 = 0.5 * 4h * h

Multiply 0.5 * 4
578 = 2h * h

Multiply h * h
578 = 2h2

Solving
578 = 2h2

Solving for variable 'h'.

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

Add '-2h2' to each side of the equation.
578 + -2h2 = 2h2 + -2h2

Combine like terms: 2h2 + -2h2 = 0
578 + -2h2 = 0

Add '-578' to each side of the equation.
578 + -578 + -2h2 = 0 + -578

Combine like terms: 578 + -578 = 0
0 + -2h2 = 0 + -578
-2h2 = 0 + -578

Combine like terms: 0 + -578 = -578
-2h2 = -578

Divide each side by '-2'.
h2 = 289

Simplifying
h2 = 289

Take the square root of each side:
h = {-17, 17}