5f^2+29f-6=0

Solution for 5f^2+29f-6=0 equation:

Simplifying
5f2 + 29f + -6 = 0

Reorder the terms:
-6 + 29f + 5f2 = 0

Solving
-6 + 29f + 5f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-6 + -1f)(1 + -5f) = 0

Subproblem 1
Set the factor '(-6 + -1f)' equal to zero and attempt to solve:

Simplifying
-6 + -1f = 0

Solving
-6 + -1f = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1f = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1f = 0 + 6
-1f = 0 + 6

Combine like terms: 0 + 6 = 6
-1f = 6

Divide each side by '-1'.
f = -6

Simplifying
f = -6
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 = {-6, 0.2}