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

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

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

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

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

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

Combine like terms: 25h + 4h = 29h
(-10 + 29h + -10h2) = 0

Solving
-10 + 29h + -10h2 = 0

Solving for variable 'h'.

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

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

Simplifying
2 + -5h = 0

Solving
2 + -5h = 0

Move all terms containing h to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -5h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5h = 0 + -2
-5h = 0 + -2

Combine like terms: 0 + -2 = -2
-5h = -2

Divide each side by '-5'.
h = 0.4

Simplifying
h = 0.4
Solution
h = {2.5, 0.4}