(2h-5)(4h+5)=

Solution for (2h-5)(4h+5)= equation:

Simplifying
(2h + -5)(4h + 5) = 0

Reorder the terms:
(-5 + 2h)(4h + 5) = 0

Reorder the terms:
(-5 + 2h)(5 + 4h) = 0

Multiply (-5 + 2h) * (5 + 4h)
(-5(5 + 4h) + 2h * (5 + 4h)) = 0
((5 * -5 + 4h * -5) + 2h * (5 + 4h)) = 0
((-25 + -20h) + 2h * (5 + 4h)) = 0
(-25 + -20h + (5 * 2h + 4h * 2h)) = 0
(-25 + -20h + (10h + 8h2)) = 0

Combine like terms: -20h + 10h = -10h
(-25 + -10h + 8h2) = 0

Solving
-25 + -10h + 8h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-5 + -4h)(5 + -2h) = 0

Subproblem 1
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
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 = {-1.25, 2.5}