2h^2=3h

Solution for 2h^2=3h equation:

Simplifying
2h2 = 3h

Solving
2h2 = 3h

Solving for variable 'h'.

Reorder the terms:
-3h + 2h2 = 3h + -3h

Combine like terms: 3h + -3h = 0
-3h + 2h2 = 0

Factor out the Greatest Common Factor (GCF), 'h'.
h(-3 + 2h) = 0

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 + 2h)' equal to zero and attempt to solve:

Simplifying
-3 + 2h = 0

Solving
-3 + 2h = 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 + 2h = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2h = 0 + 3
2h = 0 + 3

Combine like terms: 0 + 3 = 3
2h = 3

Divide each side by '2'.
h = 1.5

Simplifying
h = 1.5
Solution
h = {0, 1.5}