f^2+25f-150=0

Solution for f^2+25f-150=0 equation:

Simplifying
f2 + 25f + -150 = 0

Reorder the terms:
-150 + 25f + f2 = 0

Solving
-150 + 25f + f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-30 + -1f)(5 + -1f) = 0

Subproblem 1
Set the factor '(-30 + -1f)' equal to zero and attempt to solve:

Simplifying
-30 + -1f = 0

Solving
-30 + -1f = 0

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

Add '30' to each side of the equation.
-30 + 30 + -1f = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -1f = 0 + 30
-1f = 0 + 30

Combine like terms: 0 + 30 = 30
-1f = 30

Divide each side by '-1'.
f = -30

Simplifying
f = -30
Subproblem 2
Set the factor '(5 + -1f)' equal to zero and attempt to solve:

Simplifying
5 + -1f = 0

Solving
5 + -1f = 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 + -1f = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1f = 0 + -5
-1f = 0 + -5

Combine like terms: 0 + -5 = -5
-1f = -5

Divide each side by '-1'.
f = 5

Simplifying
f = 5
Solution
f = {-30, 5}