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

Solution for (2h+3)(h-5)=0 equation:

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

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

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

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

Combine like terms: 3h + -10h = -7h
(-15 + -7h + 2h2) = 0

Solving
-15 + -7h + 2h2 = 0

Solving for variable 'h'.

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

Subproblem 1
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
Subproblem 2
Set the factor '(5 + -1h)' equal to zero and attempt to solve:

Simplifying
5 + -1h = 0

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

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

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

Divide each side by '-1'.
h = 5

Simplifying
h = 5
Solution
h = {-1.5, 5}