q^2-25q+46=0

Solution for q^2-25q+46=0 equation:

Simplifying
q2 + -25q + 46 = 0

Reorder the terms:
46 + -25q + q2 = 0

Solving
46 + -25q + q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(2 + -1q)(23 + -1q) = 0

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

Simplifying
2 + -1q = 0

Solving
2 + -1q = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1q = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1q = 0 + -2
-1q = 0 + -2

Combine like terms: 0 + -2 = -2
-1q = -2

Divide each side by '-1'.
q = 2

Simplifying
q = 2
Subproblem 2
Set the factor '(23 + -1q)' equal to zero and attempt to solve:

Simplifying
23 + -1q = 0

Solving
23 + -1q = 0

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

Add '-23' to each side of the equation.
23 + -23 + -1q = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -1q = 0 + -23
-1q = 0 + -23

Combine like terms: 0 + -23 = -23
-1q = -23

Divide each side by '-1'.
q = 23

Simplifying
q = 23
Solution
q = {2, 23}