q^2-18q+17=0

Solution for q^2-18q+17=0 equation:

Simplifying
q2 + -18q + 17 = 0

Reorder the terms:
17 + -18q + q2 = 0

Solving
17 + -18q + q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(1 + -1q)(17 + -1q) = 0

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

Simplifying
1 + -1q = 0

Solving
1 + -1q = 0

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

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

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

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

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

Simplifying
q = 1
Subproblem 2
Set the factor '(17 + -1q)' equal to zero and attempt to solve:

Simplifying
17 + -1q = 0

Solving
17 + -1q = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1q = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1q = 0 + -17
-1q = 0 + -17

Combine like terms: 0 + -17 = -17
-1q = -17

Divide each side by '-1'.
q = 17

Simplifying
q = 17
Solution
q = {1, 17}