8f^2+17f+2=0

Solution for 8f^2+17f+2=0 equation:

Simplifying
8f2 + 17f + 2 = 0

Reorder the terms:
2 + 17f + 8f2 = 0

Solving
2 + 17f + 8f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(2 + f)(1 + 8f) = 0

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

Simplifying
2 + f = 0

Solving
2 + f = 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 + f = 0 + -2

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

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

Simplifying
f = -2
Subproblem 2
Set the factor '(1 + 8f)' equal to zero and attempt to solve:

Simplifying
1 + 8f = 0

Solving
1 + 8f = 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 + 8f = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8f = 0 + -1
8f = 0 + -1

Combine like terms: 0 + -1 = -1
8f = -1

Divide each side by '8'.
f = -0.125

Simplifying
f = -0.125
Solution
f = {-2, -0.125}