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

Solution for (2h-3)(2h-3)=0 equation:

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

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

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

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

Combine like terms: -6h + -6h = -12h
(9 + -12h + 4h2) = 0

Solving
9 + -12h + 4h2 = 0

Solving for variable 'h'.

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

Subproblem 1
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
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 = {1.5, 1.5}