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

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

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

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

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

Multiply (-5 + 3h) * (1 + 2h)
(-5(1 + 2h) + 3h * (1 + 2h)) = 0
((1 * -5 + 2h * -5) + 3h * (1 + 2h)) = 0
((-5 + -10h) + 3h * (1 + 2h)) = 0
(-5 + -10h + (1 * 3h + 2h * 3h)) = 0
(-5 + -10h + (3h + 6h2)) = 0

Combine like terms: -10h + 3h = -7h
(-5 + -7h + 6h2) = 0

Solving
-5 + -7h + 6h2 = 0

Solving for variable 'h'.

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

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

Simplifying
-1 + -2h = 0

Solving
-1 + -2h = 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 + -2h = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2h = 0 + 1
-2h = 0 + 1

Combine like terms: 0 + 1 = 1
-2h = 1

Divide each side by '-2'.
h = -0.5

Simplifying
h = -0.5
Subproblem 2
Set the factor '(5 + -3h)' equal to zero and attempt to solve:

Simplifying
5 + -3h = 0

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

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

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

Divide each side by '-3'.
h = 1.666666667

Simplifying
h = 1.666666667
Solution
h = {-0.5, 1.666666667}