2h^2+h-36=0

Solution for 2h^2+h-36=0 equation:

Simplifying
2h2 + h + -36 = 0

Reorder the terms:
-36 + h + 2h2 = 0

Solving
-36 + h + 2h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-9 + -2h)(4 + -1h) = 0

Subproblem 1
Set the factor '(-9 + -2h)' equal to zero and attempt to solve:

Simplifying
-9 + -2h = 0

Solving
-9 + -2h = 0

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

Add '9' to each side of the equation.
-9 + 9 + -2h = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2h = 0 + 9
-2h = 0 + 9

Combine like terms: 0 + 9 = 9
-2h = 9

Divide each side by '-2'.
h = -4.5

Simplifying
h = -4.5
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 = {-4.5, 4}