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.
(15 + f)(10 + f) = 0

Subproblem 1
Set the factor '(15 + f)' equal to zero and attempt to solve:

Simplifying
15 + f = 0

Solving
15 + f = 0

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

Add '-15' to each side of the equation.
15 + -15 + f = 0 + -15

Combine like terms: 15 + -15 = 0
0 + f = 0 + -15
f = 0 + -15

Combine like terms: 0 + -15 = -15
f = -15

Simplifying
f = -15
Subproblem 2
Set the factor '(10 + f)' equal to zero and attempt to solve:

Simplifying
10 + f = 0

Solving
10 + f = 0

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

Add '-10' to each side of the equation.
10 + -10 + f = 0 + -10

Combine like terms: 10 + -10 = 0
0 + f = 0 + -10
f = 0 + -10

Combine like terms: 0 + -10 = -10
f = -10

Simplifying
f = -10
Solution
f = {-15, -10}