(h-4)(h-2)=3

Solution for (h-4)(h-2)=3 equation:

Simplifying
(h + -4)(h + -2) = 3

Reorder the terms:
(-4 + h)(h + -2) = 3

Reorder the terms:
(-4 + h)(-2 + h) = 3

Multiply (-4 + h) * (-2 + h)
(-4(-2 + h) + h(-2 + h)) = 3
((-2 * -4 + h * -4) + h(-2 + h)) = 3
((8 + -4h) + h(-2 + h)) = 3
(8 + -4h + (-2 * h + h * h)) = 3
(8 + -4h + (-2h + h2)) = 3

Combine like terms: -4h + -2h = -6h
(8 + -6h + h2) = 3

Solving
8 + -6h + h2 = 3

Solving for variable 'h'.

Reorder the terms:
8 + -3 + -6h + h2 = 3 + -3

Combine like terms: 8 + -3 = 5
5 + -6h + h2 = 3 + -3

Combine like terms: 3 + -3 = 0
5 + -6h + h2 = 0

Factor a trinomial.
(1 + -1h)(5 + -1h) = 0

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

Simplifying
1 + -1h = 0

Solving
1 + -1h = 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 + -1h = 0 + -1

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

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

Divide each side by '-1'.
h = 1

Simplifying
h = 1
Subproblem 2
Set the factor '(5 + -1h)' equal to zero and attempt to solve:

Simplifying
5 + -1h = 0

Solving
5 + -1h = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1h = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1h = 0 + -5
-1h = 0 + -5

Combine like terms: 0 + -5 = -5
-1h = -5

Divide each side by '-1'.
h = 5

Simplifying
h = 5
Solution
h = {1, 5}