(20-1q)(1q-4)=

Solution for (20-1q)(1q-4)= equation:

Simplifying
(20 + -1q)(1q + -4) = 0

Reorder the terms:
(20 + -1q)(-4 + 1q) = 0

Multiply (20 + -1q) * (-4 + 1q)
(20(-4 + 1q) + -1q * (-4 + 1q)) = 0
((-4 * 20 + 1q * 20) + -1q * (-4 + 1q)) = 0
((-80 + 20q) + -1q * (-4 + 1q)) = 0
(-80 + 20q + (-4 * -1q + 1q * -1q)) = 0
(-80 + 20q + (4q + -1q2)) = 0

Combine like terms: 20q + 4q = 24q
(-80 + 24q + -1q2) = 0

Solving
-80 + 24q + -1q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-20 + q)(4 + -1q) = 0

Subproblem 1
Set the factor '(-20 + q)' equal to zero and attempt to solve:

Simplifying
-20 + q = 0

Solving
-20 + q = 0

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

Add '20' to each side of the equation.
-20 + 20 + q = 0 + 20

Combine like terms: -20 + 20 = 0
0 + q = 0 + 20
q = 0 + 20

Combine like terms: 0 + 20 = 20
q = 20

Simplifying
q = 20
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 = {20, 4}