q^2+25q+100=0

Solution for q^2+25q+100=0 equation:

Simplifying
q2 + 25q + 100 = 0

Reorder the terms:
100 + 25q + q2 = 0

Solving
100 + 25q + q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(20 + q)(5 + q) = 0

Subproblem 1
Set the factor '(20 + q)' equal to zero and attempt to solve:

Simplifying
20 + q = 0

Solving
20 + q = 0

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

Add '-20' to each side of the equation.
20 + -20 + q = 0 + -20

Combine like terms: 20 + -20 = 0
0 + q = 0 + -20
q = 0 + -20

Combine like terms: 0 + -20 = -20
q = -20

Simplifying
q = -20
Subproblem 2
Set the factor '(5 + q)' equal to zero and attempt to solve:

Simplifying
5 + q = 0

Solving
5 + q = 0

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

Add '-5' to each side of the equation.
5 + -5 + q = 0 + -5

Combine like terms: 5 + -5 = 0
0 + q = 0 + -5
q = 0 + -5

Combine like terms: 0 + -5 = -5
q = -5

Simplifying
q = -5
Solution
q = {-20, -5}