2f^2-9f+9=0

Solution for 2f^2-9f+9=0 equation:

Simplifying
2f2 + -9f + 9 = 0

Reorder the terms:
9 + -9f + 2f2 = 0

Solving
9 + -9f + 2f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(3 + -2f)(3 + -1f) = 0

Subproblem 1
Set the factor '(3 + -2f)' equal to zero and attempt to solve:

Simplifying
3 + -2f = 0

Solving
3 + -2f = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2f = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2f = 0 + -3
-2f = 0 + -3

Combine like terms: 0 + -3 = -3
-2f = -3

Divide each side by '-2'.
f = 1.5

Simplifying
f = 1.5
Subproblem 2
Set the factor '(3 + -1f)' equal to zero and attempt to solve:

Simplifying
3 + -1f = 0

Solving
3 + -1f = 0

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

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

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

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

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

Simplifying
f = 3
Solution
f = {1.5, 3}