q^2-15q+44=0

Solution for q^2-15q+44=0 equation:

Simplifying
q2 + -15q + 44 = 0

Reorder the terms:
44 + -15q + q2 = 0

Solving
44 + -15q + q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(4 + -1q)(11 + -1q) = 0

Subproblem 1
Set the factor '(4 + -1q)' equal to zero and attempt to solve:

Simplifying
4 + -1q = 0

Solving
4 + -1q = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1q = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1q = 0 + -4
-1q = 0 + -4

Combine like terms: 0 + -4 = -4
-1q = -4

Divide each side by '-1'.
q = 4

Simplifying
q = 4
Subproblem 2
Set the factor '(11 + -1q)' equal to zero and attempt to solve:

Simplifying
11 + -1q = 0

Solving
11 + -1q = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1q = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1q = 0 + -11
-1q = 0 + -11

Combine like terms: 0 + -11 = -11
-1q = -11

Divide each side by '-1'.
q = 11

Simplifying
q = 11
Solution
q = {4, 11}