(1[5z-9]1)(1[3+z]1)=0

Solution for (1[5z-9]1)(1[3+z]1)=0 equation:

Simplifying
(1[5z + -9] * 1)(1[3 + z] * 1) = 0

Reorder the terms:
(1[-9 + 5z] * 1)(1[3 + z] * 1) = 0

Reorder the terms for easier multiplication:
(1 * 1[-9 + 5z])(1[3 + z] * 1) = 0

Multiply 1 * 1
(1[-9 + 5z])(1[3 + z] * 1) = 0
([-9 * 1 + 5z * 1])(1[3 + z] * 1) = 0
([-9 + 5z])(1[3 + z] * 1) = 0

Reorder the terms for easier multiplication:
(-9 + 5z)(1 * 1[3 + z]) = 0

Multiply 1 * 1
(-9 + 5z)(1[3 + z]) = 0
(-9 + 5z)([3 * 1 + z * 1]) = 0
(-9 + 5z)([3 + 1z]) = 0

Multiply (-9 + 5z) * (3 + 1z)
(-9(3 + 1z) + 5z * (3 + 1z)) = 0
((3 * -9 + 1z * -9) + 5z * (3 + 1z)) = 0
((-27 + -9z) + 5z * (3 + 1z)) = 0
(-27 + -9z + (3 * 5z + 1z * 5z)) = 0
(-27 + -9z + (15z + 5z2)) = 0

Combine like terms: -9z + 15z = 6z
(-27 + 6z + 5z2) = 0

Solving
-27 + 6z + 5z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-3 + -1z)(9 + -5z) = 0

Subproblem 1
Set the factor '(-3 + -1z)' equal to zero and attempt to solve:

Simplifying
-3 + -1z = 0

Solving
-3 + -1z = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1z = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1z = 0 + 3
-1z = 0 + 3

Combine like terms: 0 + 3 = 3
-1z = 3

Divide each side by '-1'.
z = -3

Simplifying
z = -3
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 = {-3, 1.8}