(-8+6i)(8-8i)=0

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Solution for (-8+6i)(8-8i)=0 equation: 


Simplifying
(-8 + 6i)(8 + -8i) = 0

Multiply (-8 + 6i) * (8 + -8i)
(-8(8 + -8i) + 6i * (8 + -8i)) = 0
((8 * -8 + -8i * -8) + 6i * (8 + -8i)) = 0
((-64 + 64i) + 6i * (8 + -8i)) = 0
(-64 + 64i + (8 * 6i + -8i * 6i)) = 0
(-64 + 64i + (48i + -48i2)) = 0

Combine like terms: 64i + 48i = 112i
(-64 + 112i + -48i2) = 0

Solving
-64 + 112i + -48i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '16'.
16(-4 + 7i + -3i2) = 0

Factor a trinomial.
16((-4 + 3i)(1 + -1i)) = 0

Ignore the factor 16.

Subproblem 1
Set the factor '(-4 + 3i)' equal to zero and attempt to solve:

Simplifying
-4 + 3i = 0

Solving
-4 + 3i = 0

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

Add '4' to each side of the equation.
-4 + 4 + 3i = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3i = 0 + 4
3i = 0 + 4

Combine like terms: 0 + 4 = 4
3i = 4

Divide each side by '3'.
i = 1.333333333

Simplifying
i = 1.333333333

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 = {1.333333333, 1}

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