21h^2=7h

Solution for 21h^2=7h equation:

Simplifying
21h2 = 7h

Solving
21h2 = 7h

Solving for variable 'h'.

Reorder the terms:
-7h + 21h2 = 7h + -7h

Combine like terms: 7h + -7h = 0
-7h + 21h2 = 0

Factor out the Greatest Common Factor (GCF), '7h'.
7h(-1 + 3h) = 0

Ignore the factor 7.
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 '(-1 + 3h)' equal to zero and attempt to solve:

Simplifying
-1 + 3h = 0

Solving
-1 + 3h = 0

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

Add '1' to each side of the equation.
-1 + 1 + 3h = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3h = 0 + 1
3h = 0 + 1

Combine like terms: 0 + 1 = 1
3h = 1

Divide each side by '3'.
h = 0.3333333333

Simplifying
h = 0.3333333333
Solution
h = {0, 0.3333333333}