(8-3i)(-2-3i)=0

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Solution for (8-3i)(-2-3i)=0 equation: 


Simplifying
(8 + -3i)(-2 + -3i) = 0

Multiply (8 + -3i) * (-2 + -3i)
(8(-2 + -3i) + -3i * (-2 + -3i)) = 0
((-2 * 8 + -3i * 8) + -3i * (-2 + -3i)) = 0
((-16 + -24i) + -3i * (-2 + -3i)) = 0
(-16 + -24i + (-2 * -3i + -3i * -3i)) = 0
(-16 + -24i + (6i + 9i2)) = 0

Combine like terms: -24i + 6i = -18i
(-16 + -18i + 9i2) = 0

Solving
-16 + -18i + 9i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(-2 + -3i)(8 + -3i) = 0


Subproblem 1
Set the factor '(-2 + -3i)' equal to zero and attempt to solve:

Simplifying
-2 + -3i = 0

Solving
-2 + -3i = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3i = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3i = 0 + 2
-3i = 0 + 2

Combine like terms: 0 + 2 = 2
-3i = 2

Divide each side by '-3'.
i = -0.6666666667

Simplifying
i = -0.6666666667

Subproblem 2
Set the factor '(8 + -3i)' equal to zero and attempt to solve:

Simplifying
8 + -3i = 0

Solving
8 + -3i = 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 + -3i = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3i = 0 + -8
-3i = 0 + -8

Combine like terms: 0 + -8 = -8
-3i = -8

Divide each side by '-3'.
i = 2.666666667

Simplifying
i = 2.666666667
Solution
i = {-0.6666666667, 2.666666667}

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