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

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

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

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

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

Multiply (-5 + 4h) * (-3 + 5h)
(-5(-3 + 5h) + 4h * (-3 + 5h)) = 0
((-3 * -5 + 5h * -5) + 4h * (-3 + 5h)) = 0
((15 + -25h) + 4h * (-3 + 5h)) = 0
(15 + -25h + (-3 * 4h + 5h * 4h)) = 0
(15 + -25h + (-12h + 20h2)) = 0

Combine like terms: -25h + -12h = -37h
(15 + -37h + 20h2) = 0

Solving
15 + -37h + 20h2 = 0

Solving for variable 'h'.

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

Subproblem 1
Set the factor '(3 + -5h)' equal to zero and attempt to solve:

Simplifying
3 + -5h = 0

Solving
3 + -5h = 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 + -5h = 0 + -3

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

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

Divide each side by '-5'.
h = 0.6

Simplifying
h = 0.6
Subproblem 2
Set the factor '(5 + -4h)' equal to zero and attempt to solve:

Simplifying
5 + -4h = 0

Solving
5 + -4h = 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 + -4h = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4h = 0 + -5
-4h = 0 + -5

Combine like terms: 0 + -5 = -5
-4h = -5

Divide each side by '-4'.
h = 1.25

Simplifying
h = 1.25
Solution
h = {0.6, 1.25}