100=(2h)(h)

Solution for 100=(2h)(h) equation:

Simplifying
100 = (2h)(h)

Remove parenthesis around (2h)
100 = 2h(h)

Multiply h * h
100 = 2h2

Solving
100 = 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.
100 + -2h2 = 2h2 + -2h2

Combine like terms: 2h2 + -2h2 = 0
100 + -2h2 = 0

Add '-100' to each side of the equation.
100 + -100 + -2h2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -2h2 = 0 + -100
-2h2 = 0 + -100

Combine like terms: 0 + -100 = -100
-2h2 = -100

Divide each side by '-2'.
h2 = 50

Simplifying
h2 = 50

Take the square root of each side:
h = {-7.071067812, 7.071067812}