(8h-1)(2h-3)=0

Solution for (8h-1)(2h-3)=0 equation:

Simplifying
(8h + -1)(2h + -3) = 0

Reorder the terms:
(-1 + 8h)(2h + -3) = 0

Reorder the terms:
(-1 + 8h)(-3 + 2h) = 0

Multiply (-1 + 8h) * (-3 + 2h)
(-1(-3 + 2h) + 8h * (-3 + 2h)) = 0
((-3 * -1 + 2h * -1) + 8h * (-3 + 2h)) = 0
((3 + -2h) + 8h * (-3 + 2h)) = 0
(3 + -2h + (-3 * 8h + 2h * 8h)) = 0
(3 + -2h + (-24h + 16h2)) = 0

Combine like terms: -2h + -24h = -26h
(3 + -26h + 16h2) = 0

Solving
3 + -26h + 16h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(1 + -8h)(3 + -2h) = 0

Subproblem 1
Set the factor '(1 + -8h)' equal to zero and attempt to solve:

Simplifying
1 + -8h = 0

Solving
1 + -8h = 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 + -8h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8h = 0 + -1
-8h = 0 + -1

Combine like terms: 0 + -1 = -1
-8h = -1

Divide each side by '-8'.
h = 0.125

Simplifying
h = 0.125
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 = {0.125, 1.5}