(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 = -4z
(9 + -4z + -5z2) = 0

Solving
9 + -4z + -5z2 = 0

Solving for variable 'z'.

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

Subproblem 1
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
Subproblem 2
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
Solution
z = {1, -1.8}