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

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


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

Multiply (8 + 2i) * (4 + -3i)
(8(4 + -3i) + 2i * (4 + -3i)) = 0
((4 * 8 + -3i * 8) + 2i * (4 + -3i)) = 0
((32 + -24i) + 2i * (4 + -3i)) = 0
(32 + -24i + (4 * 2i + -3i * 2i)) = 0
(32 + -24i + (8i + -6i2)) = 0

Combine like terms: -24i + 8i = -16i
(32 + -16i + -6i2) = 0

Solving
32 + -16i + -6i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(16 + -8i + -3i2) = 0

Factor a trinomial.
2((4 + -3i)(4 + i)) = 0

Ignore the factor 2.

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 '(4 + i)' equal to zero and attempt to solve:

Simplifying
4 + i = 0

Solving
4 + i = 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 + i = 0 + -4

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

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

Simplifying
i = -4
Solution
i = {1.333333333, -4}

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