6f^2+7f-20=0

Solution for 6f^2+7f-20=0 equation:

Simplifying
6f2 + 7f + -20 = 0

Reorder the terms:
-20 + 7f + 6f2 = 0

Solving
-20 + 7f + 6f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-5 + -2f)(4 + -3f) = 0

Subproblem 1
Set the factor '(-5 + -2f)' equal to zero and attempt to solve:

Simplifying
-5 + -2f = 0

Solving
-5 + -2f = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2f = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2f = 0 + 5
-2f = 0 + 5

Combine like terms: 0 + 5 = 5
-2f = 5

Divide each side by '-2'.
f = -2.5

Simplifying
f = -2.5
Subproblem 2
Set the factor '(4 + -3f)' equal to zero and attempt to solve:

Simplifying
4 + -3f = 0

Solving
4 + -3f = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3f = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3f = 0 + -4
-3f = 0 + -4

Combine like terms: 0 + -4 = -4
-3f = -4

Divide each side by '-3'.
f = 1.333333333

Simplifying
f = 1.333333333
Solution
f = {-2.5, 1.333333333}