4h^2-9h-9=0

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

Simplifying
4h2 + -9h + -9 = 0

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

Solving
-9 + -9h + 4h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-3 + -4h)(3 + -1h) = 0

Subproblem 1
Set the factor '(-3 + -4h)' equal to zero and attempt to solve:

Simplifying
-3 + -4h = 0

Solving
-3 + -4h = 0

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

Add '3' to each side of the equation.
-3 + 3 + -4h = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4h = 0 + 3
-4h = 0 + 3

Combine like terms: 0 + 3 = 3
-4h = 3

Divide each side by '-4'.
h = -0.75

Simplifying
h = -0.75
Subproblem 2
Set the factor '(3 + -1h)' equal to zero and attempt to solve:

Simplifying
3 + -1h = 0

Solving
3 + -1h = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1h = 0 + -3
-1h = 0 + -3

Combine like terms: 0 + -3 = -3
-1h = -3

Divide each side by '-1'.
h = 3

Simplifying
h = 3
Solution
h = {-0.75, 3}