(2-4i)(8-3i)=

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Solution for (2-4i)(8-3i)= equation: 


Simplifying
(2 + -4i)(8 + -3i) = 0

Multiply (2 + -4i) * (8 + -3i)
(2(8 + -3i) + -4i * (8 + -3i)) = 0
((8 * 2 + -3i * 2) + -4i * (8 + -3i)) = 0
((16 + -6i) + -4i * (8 + -3i)) = 0
(16 + -6i + (8 * -4i + -3i * -4i)) = 0
(16 + -6i + (-32i + 12i2)) = 0

Combine like terms: -6i + -32i = -38i
(16 + -38i + 12i2) = 0

Solving
16 + -38i + 12i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -19i + 6i2) = 0

Factor a trinomial.
2((1 + -2i)(8 + -3i)) = 0

Ignore the factor 2.

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

Simplifying
1 + -2i = 0

Solving
1 + -2i = 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 + -2i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2i = 0 + -1
-2i = 0 + -1

Combine like terms: 0 + -1 = -1
-2i = -1

Divide each side by '-2'.
i = 0.5

Simplifying
i = 0.5

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 = {0.5, 2.666666667}

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