(5h-1)(2h-3)=

Solution for (5h-1)(2h-3)= equation:

Simplifying
(5h + -1)(2h + -3) = 0

Reorder the terms:
(-1 + 5h)(2h + -3) = 0

Reorder the terms:
(-1 + 5h)(-3 + 2h) = 0

Multiply (-1 + 5h) * (-3 + 2h)
(-1(-3 + 2h) + 5h * (-3 + 2h)) = 0
((-3 * -1 + 2h * -1) + 5h * (-3 + 2h)) = 0
((3 + -2h) + 5h * (-3 + 2h)) = 0
(3 + -2h + (-3 * 5h + 2h * 5h)) = 0
(3 + -2h + (-15h + 10h2)) = 0

Combine like terms: -2h + -15h = -17h
(3 + -17h + 10h2) = 0

Solving
3 + -17h + 10h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(1 + -5h)(3 + -2h) = 0

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

Simplifying
1 + -5h = 0

Solving
1 + -5h = 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 + -5h = 0 + -1

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

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

Divide each side by '-5'.
h = 0.2

Simplifying
h = 0.2
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 = {0.2, 1.5}