(-4i)(-8-8i)(1-8i)=

Solution for (-4i)(-8-8i)(1-8i)= equation:

Simplifying
(-4i)(-8 + -8i)(1 + -8i) = 0

Remove parenthesis around (-4i)
-4i(-8 + -8i)(1 + -8i) = 0

Multiply (-8 + -8i) * (1 + -8i)
-4i(-8(1 + -8i) + -8i * (1 + -8i)) = 0
-4i((1 * -8 + -8i * -8) + -8i * (1 + -8i)) = 0
-4i((-8 + 64i) + -8i * (1 + -8i)) = 0
-4i(-8 + 64i + (1 * -8i + -8i * -8i)) = 0
-4i(-8 + 64i + (-8i + 64i2)) = 0

Combine like terms: 64i + -8i = 56i
-4i(-8 + 56i + 64i2) = 0
(-8 * -4i + 56i * -4i + 64i2 * -4i) = 0
(32i + -224i2 + -256i3) = 0

Solving
32i + -224i2 + -256i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '32i'.
32i(1 + -7i + -8i2) = 0

Factor a trinomial.
32i((1 + -8i)(1 + i)) = 0

Ignore the factor 32.
Subproblem 1
Set the factor 'i' equal to zero and attempt to solve:

Simplifying
i = 0

Solving
i = 0

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

Simplifying
i = 0
Subproblem 2
Set the factor '(1 + -8i)' equal to zero and attempt to solve:

Simplifying
1 + -8i = 0

Solving
1 + -8i = 0

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

Add '-1' to each side of the equation.
1 + -1 + -8i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8i = 0 + -1
-8i = 0 + -1

Combine like terms: 0 + -1 = -1
-8i = -1

Divide each side by '-8'.
i = 0.125

Simplifying
i = 0.125
Subproblem 3
Set the factor '(1 + i)' equal to zero and attempt to solve:

Simplifying
1 + i = 0

Solving
1 + i = 0

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

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

Combine like terms: 1 + -1 = 0
0 + i = 0 + -1
i = 0 + -1

Combine like terms: 0 + -1 = -1
i = -1

Simplifying
i = -1
Solution
i = {0, 0.125, -1}