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

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


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

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

Combine like terms: -64i + -64i = -128i
(64 + -128i + 64i2) = 0

Solving
64 + -128i + 64i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '64'.
64(1 + -2i + i2) = 0

Factor a trinomial.
64((1 + -1i)(1 + -1i)) = 0

Ignore the factor 64.

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 '(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

Solution

i = {1, 1}

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