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

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

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

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

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

Multiply (-5 + 2h) * (3 + 5h)
(-5(3 + 5h) + 2h * (3 + 5h)) = 0
((3 * -5 + 5h * -5) + 2h * (3 + 5h)) = 0
((-15 + -25h) + 2h * (3 + 5h)) = 0
(-15 + -25h + (3 * 2h + 5h * 2h)) = 0
(-15 + -25h + (6h + 10h2)) = 0

Combine like terms: -25h + 6h = -19h
(-15 + -19h + 10h2) = 0

Solving
-15 + -19h + 10h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-3 + -5h)(5 + -2h) = 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 + -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 = {-0.6, 2.5}