8h^2x-48h=0

Solution for 8h^2x-48h=0 equation:

Simplifying
8h2x + -48h = 0

Reorder the terms:
-48h + 8h2x = 0

Solving
-48h + 8h2x = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '8h'.
8h(-6 + hx) = 0

Ignore the factor 8.
Subproblem 1
Set the factor 'h' equal to zero and attempt to solve:

Simplifying
h = 0

Solving
h = 0

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

Simplifying
h = 0
Subproblem 2
Set the factor '(-6 + hx)' equal to zero and attempt to solve:

Simplifying
-6 + hx = 0

Solving
-6 + hx = 0

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

Add '6' to each side of the equation.
-6 + 6 + hx = 0 + 6

Combine like terms: -6 + 6 = 0
0 + hx = 0 + 6
hx = 0 + 6

Combine like terms: 0 + 6 = 6
hx = 6

Divide each side by 'x'.
h = 6x-1

Simplifying
h = 6x-1
Solution
h = {0, 6x-1}