(2h-5)(4h-3)=

Solution for (2h-5)(4h-3)= equation:

Simplifying
(2h + -5)(4h + -3) = 0

Reorder the terms:
(-5 + 2h)(4h + -3) = 0

Reorder the terms:
(-5 + 2h)(-3 + 4h) = 0

Multiply (-5 + 2h) * (-3 + 4h)
(-5(-3 + 4h) + 2h * (-3 + 4h)) = 0
((-3 * -5 + 4h * -5) + 2h * (-3 + 4h)) = 0
((15 + -20h) + 2h * (-3 + 4h)) = 0
(15 + -20h + (-3 * 2h + 4h * 2h)) = 0
(15 + -20h + (-6h + 8h2)) = 0

Combine like terms: -20h + -6h = -26h
(15 + -26h + 8h2) = 0

Solving
15 + -26h + 8h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(3 + -4h)(5 + -2h) = 0

Subproblem 1
Set the factor '(3 + -4h)' equal to zero and attempt to solve:

Simplifying
3 + -4h = 0

Solving
3 + -4h = 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 + -4h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4h = 0 + -3
-4h = 0 + -3

Combine like terms: 0 + -3 = -3
-4h = -3

Divide each side by '-4'.
h = 0.75

Simplifying
h = 0.75
Subproblem 2
Set the factor '(5 + -2h)' equal to zero and attempt to solve:

Simplifying
5 + -2h = 0

Solving
5 + -2h = 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 + -2h = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2h = 0 + -5
-2h = 0 + -5

Combine like terms: 0 + -5 = -5
-2h = -5

Divide each side by '-2'.
h = 2.5

Simplifying
h = 2.5
Solution
h = {0.75, 2.5}