28-14q-2q+q^2=0

Solution for 28-14q-2q+q^2=0 equation:

Simplifying
28 + -14q + -2q + q2 = 0

Combine like terms: -14q + -2q = -16q
28 + -16q + q2 = 0

Solving
28 + -16q + q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(2 + -1q)(14 + -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 '(14 + -1q)' equal to zero and attempt to solve:

Simplifying
14 + -1q = 0

Solving
14 + -1q = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1q = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1q = 0 + -14
-1q = 0 + -14

Combine like terms: 0 + -14 = -14
-1q = -14

Divide each side by '-1'.
q = 14

Simplifying
q = 14
Solution
q = {2, 14}