(q-6)(q-2)=

Solution for (q-6)(q-2)= equation:

Simplifying
(q + -6)(q + -2) = 0

Reorder the terms:
(-6 + q)(q + -2) = 0

Reorder the terms:
(-6 + q)(-2 + q) = 0

Multiply (-6 + q) * (-2 + q)
(-6(-2 + q) + q(-2 + q)) = 0
((-2 * -6 + q * -6) + q(-2 + q)) = 0
((12 + -6q) + q(-2 + q)) = 0
(12 + -6q + (-2 * q + q * q)) = 0
(12 + -6q + (-2q + q2)) = 0

Combine like terms: -6q + -2q = -8q
(12 + -8q + q2) = 0

Solving
12 + -8q + q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(2 + -1q)(6 + -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 '(6 + -1q)' equal to zero and attempt to solve:

Simplifying
6 + -1q = 0

Solving
6 + -1q = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1q = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1q = 0 + -6
-1q = 0 + -6

Combine like terms: 0 + -6 = -6
-1q = -6

Divide each side by '-1'.
q = 6

Simplifying
q = 6
Solution
q = {2, 6}