(5z-9)(1-z)=0

Solution for (5z-9)(1-z)=0 equation:

Simplifying
(5z + -9)(1 + -1z) = 0

Reorder the terms:
(-9 + 5z)(1 + -1z) = 0

Multiply (-9 + 5z) * (1 + -1z)
(-9(1 + -1z) + 5z * (1 + -1z)) = 0
((1 * -9 + -1z * -9) + 5z * (1 + -1z)) = 0
((-9 + 9z) + 5z * (1 + -1z)) = 0
(-9 + 9z + (1 * 5z + -1z * 5z)) = 0
(-9 + 9z + (5z + -5z2)) = 0

Combine like terms: 9z + 5z = 14z
(-9 + 14z + -5z2) = 0

Solving
-9 + 14z + -5z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-9 + 5z)(1 + -1z) = 0

Subproblem 1
Set the factor '(-9 + 5z)' equal to zero and attempt to solve:

Simplifying
-9 + 5z = 0

Solving
-9 + 5z = 0

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

Add '9' to each side of the equation.
-9 + 9 + 5z = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 5z = 0 + 9
5z = 0 + 9

Combine like terms: 0 + 9 = 9
5z = 9

Divide each side by '5'.
z = 1.8

Simplifying
z = 1.8
Subproblem 2
Set the factor '(1 + -1z)' equal to zero and attempt to solve:

Simplifying
1 + -1z = 0

Solving
1 + -1z = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1z = 0 + -1
-1z = 0 + -1

Combine like terms: 0 + -1 = -1
-1z = -1

Divide each side by '-1'.
z = 1

Simplifying
z = 1
Solution
z = {1.8, 1}