(1[2+z]1)(1[5z-4]1)=0

Solution for (1[2+z]1)(1[5z-4]1)=0 equation:

Simplifying
(1[2 + z] * 1)(1[5z + -4] * 1) = 0

Reorder the terms for easier multiplication:
(1 * 1[2 + z])(1[5z + -4] * 1) = 0

Multiply 1 * 1
(1[2 + z])(1[5z + -4] * 1) = 0
([2 * 1 + z * 1])(1[5z + -4] * 1) = 0
([2 + 1z])(1[5z + -4] * 1) = 0

Reorder the terms:
(2 + 1z)(1[-4 + 5z] * 1) = 0

Reorder the terms for easier multiplication:
(2 + 1z)(1 * 1[-4 + 5z]) = 0

Multiply 1 * 1
(2 + 1z)(1[-4 + 5z]) = 0
(2 + 1z)([-4 * 1 + 5z * 1]) = 0
(2 + 1z)([-4 + 5z]) = 0

Multiply (2 + 1z) * (-4 + 5z)
(2(-4 + 5z) + 1z * (-4 + 5z)) = 0
((-4 * 2 + 5z * 2) + 1z * (-4 + 5z)) = 0
((-8 + 10z) + 1z * (-4 + 5z)) = 0
(-8 + 10z + (-4 * 1z + 5z * 1z)) = 0
(-8 + 10z + (-4z + 5z2)) = 0

Combine like terms: 10z + -4z = 6z
(-8 + 6z + 5z2) = 0

Solving
-8 + 6z + 5z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-2 + -1z)(4 + -5z) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + -5z)' equal to zero and attempt to solve:

Simplifying
4 + -5z = 0

Solving
4 + -5z = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5z = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5z = 0 + -4
-5z = 0 + -4

Combine like terms: 0 + -4 = -4
-5z = -4

Divide each side by '-5'.
z = 0.8

Simplifying
z = 0.8
Solution
z = {-2, 0.8}