2f^2-25f+12=0

Solution for 2f^2-25f+12=0 equation:

Simplifying
2f2 + -25f + 12 = 0

Reorder the terms:
12 + -25f + 2f2 = 0

Solving
12 + -25f + 2f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(1 + -2f)(12 + -1f) = 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 '(12 + -1f)' equal to zero and attempt to solve:

Simplifying
12 + -1f = 0

Solving
12 + -1f = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1f = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1f = 0 + -12
-1f = 0 + -12

Combine like terms: 0 + -12 = -12
-1f = -12

Divide each side by '-1'.
f = 12

Simplifying
f = 12
Solution
f = {0.5, 12}