22f^2+7f-2=0

Solution for 22f^2+7f-2=0 equation:

Simplifying
22f2 + 7f + -2 = 0

Reorder the terms:
-2 + 7f + 22f2 = 0

Solving
-2 + 7f + 22f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-1 + -2f)(2 + -11f) = 0

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

Simplifying
-1 + -2f = 0

Solving
-1 + -2f = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2f = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2f = 0 + 1
-2f = 0 + 1

Combine like terms: 0 + 1 = 1
-2f = 1

Divide each side by '-2'.
f = -0.5

Simplifying
f = -0.5
Subproblem 2
Set the factor '(2 + -11f)' equal to zero and attempt to solve:

Simplifying
2 + -11f = 0

Solving
2 + -11f = 0

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

Add '-2' to each side of the equation.
2 + -2 + -11f = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -11f = 0 + -2
-11f = 0 + -2

Combine like terms: 0 + -2 = -2
-11f = -2

Divide each side by '-11'.
f = 0.1818181818

Simplifying
f = 0.1818181818
Solution
f = {-0.5, 0.1818181818}