7h(2h-9)=0

Solution for 7h(2h-9)=0 equation:

Simplifying
7h(2h + -9) = 0

Reorder the terms:
7h(-9 + 2h) = 0
(-9 * 7h + 2h * 7h) = 0
(-63h + 14h2) = 0

Solving
-63h + 14h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '7h'.
7h(-9 + 2h) = 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 '(-9 + 2h)' equal to zero and attempt to solve:

Simplifying
-9 + 2h = 0

Solving
-9 + 2h = 0

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

Add '9' to each side of the equation.
-9 + 9 + 2h = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 2h = 0 + 9
2h = 0 + 9

Combine like terms: 0 + 9 = 9
2h = 9

Divide each side by '2'.
h = 4.5

Simplifying
h = 4.5
Solution
h = {0, 4.5}