(8+8i)(8-i)=

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Solution for (8+8i)(8-i)= equation: 


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

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

Combine like terms: -8i + 64i = 56i
(64 + 56i + -8i2) = 0

Solving
64 + 56i + -8i2 = 0

Solving for variable 'i'.

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

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

Ignore the factor 8.

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

Simplifying
8 + -1i = 0

Solving
8 + -1i = 0

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

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

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

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

Divide each side by '-1'.
i = 8

Simplifying
i = 8

Subproblem 2
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 = {8, -1}

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