5h^2-9h-2=0

Solution for 5h^2-9h-2=0 equation:

Simplifying
5h2 + -9h + -2 = 0

Reorder the terms:
-2 + -9h + 5h2 = 0

Solving
-2 + -9h + 5h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-1 + -5h)(2 + -1h) = 0

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

Simplifying
-1 + -5h = 0

Solving
-1 + -5h = 0

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

Add '1' to each side of the equation.
-1 + 1 + -5h = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5h = 0 + 1
-5h = 0 + 1

Combine like terms: 0 + 1 = 1
-5h = 1

Divide each side by '-5'.
h = -0.2

Simplifying
h = -0.2
Subproblem 2
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
Solution
h = {-0.2, 2}