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

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


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

Reorder the terms:
(1 + -1z)(8 + 3z) = 0

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

Combine like terms: 3z + -8z = -5z
(8 + -5z + -3z2) = 0

Solving
8 + -5z + -3z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(1 + -1z)(8 + 3z) = 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 '(8 + 3z)' equal to zero and attempt to solve:

Simplifying
8 + 3z = 0

Solving
8 + 3z = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3z = 0 + -8

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

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

Divide each side by '3'.
z = -2.666666667

Simplifying
z = -2.666666667
Solution
z = {1, -2.666666667}

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