10f^2+7f+1=

Solution for 10f^2+7f+1= equation:

Simplifying
10f2 + 7f + 1 = 0

Reorder the terms:
1 + 7f + 10f2 = 0

Solving
1 + 7f + 10f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(1 + 2f)(1 + 5f) = 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 '(1 + 5f)' equal to zero and attempt to solve:

Simplifying
1 + 5f = 0

Solving
1 + 5f = 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 + 5f = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5f = 0 + -1
5f = 0 + -1

Combine like terms: 0 + -1 = -1
5f = -1

Divide each side by '5'.
f = -0.2

Simplifying
f = -0.2
Solution
f = {-0.5, -0.2}