(2h-3)(3h-2)=

Solution for (2h-3)(3h-2)= equation:

Simplifying
(2h + -3)(3h + -2) = 0

Reorder the terms:
(-3 + 2h)(3h + -2) = 0

Reorder the terms:
(-3 + 2h)(-2 + 3h) = 0

Multiply (-3 + 2h) * (-2 + 3h)
(-3(-2 + 3h) + 2h * (-2 + 3h)) = 0
((-2 * -3 + 3h * -3) + 2h * (-2 + 3h)) = 0
((6 + -9h) + 2h * (-2 + 3h)) = 0
(6 + -9h + (-2 * 2h + 3h * 2h)) = 0
(6 + -9h + (-4h + 6h2)) = 0

Combine like terms: -9h + -4h = -13h
(6 + -13h + 6h2) = 0

Solving
6 + -13h + 6h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(2 + -3h)(3 + -2h) = 0

Subproblem 1
Set the factor '(2 + -3h)' equal to zero and attempt to solve:

Simplifying
2 + -3h = 0

Solving
2 + -3h = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3h = 0 + -2

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

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

Divide each side by '-3'.
h = 0.6666666667

Simplifying
h = 0.6666666667
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 = {0.6666666667, 1.5}