(2-Z)(2Z-5)=0

Solution for (2-Z)(2Z-5)=0 equation:

Simplifying
(2 + -1Z)(2Z + -5) = 0

Reorder the terms:
(2 + -1Z)(-5 + 2Z) = 0

Multiply (2 + -1Z) * (-5 + 2Z)
(2(-5 + 2Z) + -1Z * (-5 + 2Z)) = 0
((-5 * 2 + 2Z * 2) + -1Z * (-5 + 2Z)) = 0
((-10 + 4Z) + -1Z * (-5 + 2Z)) = 0
(-10 + 4Z + (-5 * -1Z + 2Z * -1Z)) = 0
(-10 + 4Z + (5Z + -2Z2)) = 0

Combine like terms: 4Z + 5Z = 9Z
(-10 + 9Z + -2Z2) = 0

Solving
-10 + 9Z + -2Z2 = 0

Solving for variable 'Z'.

Factor a trinomial.
(-5 + 2Z)(2 + -1Z) = 0

Subproblem 1
Set the factor '(-5 + 2Z)' equal to zero and attempt to solve:

Simplifying
-5 + 2Z = 0

Solving
-5 + 2Z = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2Z = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2Z = 0 + 5
2Z = 0 + 5

Combine like terms: 0 + 5 = 5
2Z = 5

Divide each side by '2'.
Z = 2.5

Simplifying
Z = 2.5
Subproblem 2
Set the factor '(2 + -1Z)' equal to zero and attempt to solve:

Simplifying
2 + -1Z = 0

Solving
2 + -1Z = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1Z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1Z = 0 + -2
-1Z = 0 + -2

Combine like terms: 0 + -2 = -2
-1Z = -2

Divide each side by '-1'.
Z = 2

Simplifying
Z = 2
Solution
Z = {2.5, 2}