2h^2-15h+28=0

Solution for 2h^2-15h+28=0 equation:

Simplifying
2h2 + -15h + 28 = 0

Reorder the terms:
28 + -15h + 2h2 = 0

Solving
28 + -15h + 2h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(7 + -2h)(4 + -1h) = 0

Subproblem 1
Set the factor '(7 + -2h)' equal to zero and attempt to solve:

Simplifying
7 + -2h = 0

Solving
7 + -2h = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2h = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2h = 0 + -7
-2h = 0 + -7

Combine like terms: 0 + -7 = -7
-2h = -7

Divide each side by '-2'.
h = 3.5

Simplifying
h = 3.5
Subproblem 2
Set the factor '(4 + -1h)' equal to zero and attempt to solve:

Simplifying
4 + -1h = 0

Solving
4 + -1h = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1h = 0 + -4
-1h = 0 + -4

Combine like terms: 0 + -4 = -4
-1h = -4

Divide each side by '-1'.
h = 4

Simplifying
h = 4
Solution
h = {3.5, 4}