h^2-40h+76=0

Solution for h^2-40h+76=0 equation:

Simplifying
h2 + -40h + 76 = 0

Reorder the terms:
76 + -40h + h2 = 0

Solving
76 + -40h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(2 + -1h)(38 + -1h) = 0

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

Simplifying
2 + -1h = 0

Solving
2 + -1h = 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 + -1h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1h = 0 + -2
-1h = 0 + -2

Combine like terms: 0 + -2 = -2
-1h = -2

Divide each side by '-1'.
h = 2

Simplifying
h = 2
Subproblem 2
Set the factor '(38 + -1h)' equal to zero and attempt to solve:

Simplifying
38 + -1h = 0

Solving
38 + -1h = 0

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

Add '-38' to each side of the equation.
38 + -38 + -1h = 0 + -38

Combine like terms: 38 + -38 = 0
0 + -1h = 0 + -38
-1h = 0 + -38

Combine like terms: 0 + -38 = -38
-1h = -38

Divide each side by '-1'.
h = 38

Simplifying
h = 38
Solution
h = {2, 38}