48=5h^2

Solution for 48=5h^2 equation:

Simplifying
48 = 5h2

Solving
48 = 5h2

Solving for variable 'h'.

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

Add '-5h2' to each side of the equation.
48 + -5h2 = 5h2 + -5h2

Combine like terms: 5h2 + -5h2 = 0
48 + -5h2 = 0

Add '-48' to each side of the equation.
48 + -48 + -5h2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -5h2 = 0 + -48
-5h2 = 0 + -48

Combine like terms: 0 + -48 = -48
-5h2 = -48

Divide each side by '-5'.
h2 = 9.6

Simplifying
h2 = 9.6

Take the square root of each side:
h = {-3.098386677, 3.098386677}