(3+-8z)(1+-1z)=0

Solution for (3+-8z)(1+-1z)=0 equation:

Simplifying
(3 + -8z)(1 + -1z) = 0

Multiply (3 + -8z) * (1 + -1z)
(3(1 + -1z) + -8z * (1 + -1z)) = 0
((1 * 3 + -1z * 3) + -8z * (1 + -1z)) = 0
((3 + -3z) + -8z * (1 + -1z)) = 0
(3 + -3z + (1 * -8z + -1z * -8z)) = 0
(3 + -3z + (-8z + 8z2)) = 0

Combine like terms: -3z + -8z = -11z
(3 + -11z + 8z2) = 0

Solving
3 + -11z + 8z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(3 + -8z)(1 + -1z) = 0

Subproblem 1
Set the factor '(3 + -8z)' equal to zero and attempt to solve:

Simplifying
3 + -8z = 0

Solving
3 + -8z = 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 + -8z = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8z = 0 + -3
-8z = 0 + -3

Combine like terms: 0 + -3 = -3
-8z = -3

Divide each side by '-8'.
z = 0.375

Simplifying
z = 0.375
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 = {0.375, 1}