5f^2-25f+30=

Solution for 5f^2-25f+30= equation:

Simplifying
5f2 + -25f + 30 = 0

Reorder the terms:
30 + -25f + 5f2 = 0

Solving
30 + -25f + 5f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '5'.
5(6 + -5f + f2) = 0

Factor a trinomial.
5((2 + -1f)(3 + -1f)) = 0

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

Simplifying
2 + -1f = 0

Solving
2 + -1f = 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 + -1f = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1f = 0 + -2
-1f = 0 + -2

Combine like terms: 0 + -2 = -2
-1f = -2

Divide each side by '-1'.
f = 2

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

Simplifying
3 + -1f = 0

Solving
3 + -1f = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1f = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1f = 0 + -3
-1f = 0 + -3

Combine like terms: 0 + -3 = -3
-1f = -3

Divide each side by '-1'.
f = 3

Simplifying
f = 3
Solution
f = {2, 3}