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

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


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

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

Ignore the factor 8.

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

Simplifying
1 + -1i = 0

Solving
1 + -1i = 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 + -1i = 0 + -1

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

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

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

Simplifying
i = 1

Subproblem 2
Set the factor '(8 + i)' equal to zero and attempt to solve:

Simplifying
8 + i = 0

Solving
8 + i = 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 + i = 0 + -8

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

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

Simplifying
i = -8
Solution
i = {1, -8}

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