16=(20-4*q)*q

Solution for 16=(20-4*q)*q equation:

Simplifying
16 = (20 + -4q) * q

Reorder the terms for easier multiplication:
16 = q(20 + -4q)
16 = (20 * q + -4q * q)
16 = (20q + -4q2)

Solving
16 = 20q + -4q2

Solving for variable 'q'.

Reorder the terms:
16 + -20q + 4q2 = 20q + -20q + -4q2 + 4q2

Combine like terms: 20q + -20q = 0
16 + -20q + 4q2 = 0 + -4q2 + 4q2
16 + -20q + 4q2 = -4q2 + 4q2

Combine like terms: -4q2 + 4q2 = 0
16 + -20q + 4q2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + -5q + q2) = 0

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

Ignore the factor 4.
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 '(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
Solution
q = {1, 4}