3h(9h-27)=0

Solution for 3h(9h-27)=0 equation:

Simplifying
3h(9h + -27) = 0

Reorder the terms:
3h(-27 + 9h) = 0
(-27 * 3h + 9h * 3h) = 0
(-81h + 27h2) = 0

Solving
-81h + 27h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '27h'.
27h(-3 + h) = 0

Ignore the factor 27.
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 '(-3 + h)' equal to zero and attempt to solve:

Simplifying
-3 + h = 0

Solving
-3 + h = 0

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

Add '3' to each side of the equation.
-3 + 3 + h = 0 + 3

Combine like terms: -3 + 3 = 0
0 + h = 0 + 3
h = 0 + 3

Combine like terms: 0 + 3 = 3
h = 3

Simplifying
h = 3
Solution
h = {0, 3}