4h^2-9h+2=0

Solution for 4h^2-9h+2=0 equation:

Simplifying
4h2 + -9h + 2 = 0

Reorder the terms:
2 + -9h + 4h2 = 0

Solving
2 + -9h + 4h2 = 0

Solving for variable 'h'.

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

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

Simplifying
1 + -4h = 0

Solving
1 + -4h = 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 + -4h = 0 + -1

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

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

Divide each side by '-4'.
h = 0.25

Simplifying
h = 0.25
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 = {0.25, 2}