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.
(5 + -1q)(20 + -1q) = 0

Subproblem 1
Set the factor '(5 + -1q)' equal to zero and attempt to solve:

Simplifying
5 + -1q = 0

Solving
5 + -1q = 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 + -1q = 0 + -5

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

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

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

Simplifying
q = 5
Subproblem 2
Set the factor '(20 + -1q)' equal to zero and attempt to solve:

Simplifying
20 + -1q = 0

Solving
20 + -1q = 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 + -1q = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1q = 0 + -20
-1q = 0 + -20

Combine like terms: 0 + -20 = -20
-1q = -20

Divide each side by '-1'.
q = 20

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