3f^2-20f=-12

Solution for 3f^2-20f=-12 equation:

Simplifying
3f2 + -20f = -12

Reorder the terms:
-20f + 3f2 = -12

Solving
-20f + 3f2 = -12

Solving for variable 'f'.

Reorder the terms:
12 + -20f + 3f2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + -20f + 3f2 = 0

Factor a trinomial.
(2 + -3f)(6 + -1f) = 0

Subproblem 1
Set the factor '(2 + -3f)' equal to zero and attempt to solve:

Simplifying
2 + -3f = 0

Solving
2 + -3f = 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 + -3f = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3f = 0 + -2
-3f = 0 + -2

Combine like terms: 0 + -2 = -2
-3f = -2

Divide each side by '-3'.
f = 0.6666666667

Simplifying
f = 0.6666666667
Subproblem 2
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
Solution
f = {0.6666666667, 6}