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

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


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

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

Combine like terms: -64i + 48i = -16i
-6i(-64 + -16i + 48i2) = 0
(-64 * -6i + -16i * -6i + 48i2 * -6i) = 0
(384i + 96i2 + -288i3) = 0

Solving
384i + 96i2 + -288i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '96i'.
96i(4 + i + -3i2) = 0

Factor a trinomial.
96i((4 + -3i)(1 + i)) = 0

Ignore the factor 96.

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 '(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 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, 1.333333333, -1}

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