q^2-12q+20=0

Solution for q^2-12q+20=0 equation:

Simplifying
q2 + -12q + 20 = 0

Reorder the terms:
20 + -12q + q2 = 0

Solving
20 + -12q + q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(2 + -1q)(10 + -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 '(10 + -1q)' equal to zero and attempt to solve:

Simplifying
10 + -1q = 0

Solving
10 + -1q = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1q = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1q = 0 + -10
-1q = 0 + -10

Combine like terms: 0 + -10 = -10
-1q = -10

Divide each side by '-1'.
q = 10

Simplifying
q = 10
Solution
q = {2, 10}