(8-6i)(-4-4i)=0

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Solution for (8-6i)(-4-4i)=0 equation: 


Simplifying
(8 + -6i)(-4 + -4i) = 0

Multiply (8 + -6i) * (-4 + -4i)
(8(-4 + -4i) + -6i * (-4 + -4i)) = 0
((-4 * 8 + -4i * 8) + -6i * (-4 + -4i)) = 0
((-32 + -32i) + -6i * (-4 + -4i)) = 0
(-32 + -32i + (-4 * -6i + -4i * -6i)) = 0
(-32 + -32i + (24i + 24i2)) = 0

Combine like terms: -32i + 24i = -8i
(-32 + -8i + 24i2) = 0

Solving
-32 + -8i + 24i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-4 + -1i + 3i2) = 0

Factor a trinomial.
8((-1 + -1i)(4 + -3i)) = 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 '(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
Solution
i = {-1, 1.333333333}

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